Find an equation of the tangent line to the curve at the given point. x? (3,9) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) equation of the tangent line:

Q: find the values of x where the tangent line

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Q: find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent…

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Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the…

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent…

Q: consider the curve f(x)= 2x^2-x+3 which of the following expressions is the equation to tangent line…

A: topic - equation of tangent line

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6)…

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)…

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find the slope and equation of the tangent line to the graph of f(x) = Vx - 5 at x = 3 (hint: when…

A: The equation of function is y=x-5 To find the point of tangency x, y at x=3 plug x=3 in y=x-5…

Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87).

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Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

A: Given the function of f(x)= 2x3 - x. We need to find: 1)f'(x). 2)Slope of the tangent line to the…

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+ 7 and the point (1. 3) is on…

A: Given slope is 3x2-2x+7 and the point is (1,3)

Q: The slope of the tangent line at any point (X, y) on a curve is If the point (9, 3) is on the curve,…

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Q: Find an equation of the tangent line to the curve at the given point. xy + x?y? = 12, (3, 1)…

A: Equation of tangent line to the curve: Curve is :                      xy+x2y2=12 at (3,1)…

Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find the equation of the tangent line at the given point on the following curve. x? +y? = 17, (1, -…

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Q: Find the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = - 4x +7,…

A: Given: f(x)= -4x+7 , x=-1 Equation of line having slope m and passing through (x1, y1) is   (x-…

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

Q: The slope of the tangent line at any point (x. y) on a curve is 2x. If the point (9, 3) is on the…

A: the slope of the curve is the derivative of the function at that point.' here we have to form a…

Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Find slope-intercept equations of the tangent lines to the graphs of the fo points: (a) flx) (h) Ax3

A: The given function is  a) f(x)=x2-5x+2, at x=-1  b) f(x)=4x3-7x2, at x=3

Q: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x? –…

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Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: Write an equation for z' if z(x) = 3x2 + 5x + 1. Then, write the equation of the tangent line in…

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Q: Find the slope of the tangent line to the given curve at the given value of x. Find the equation of…

A: Our Aim is to find the slope of the tangent line to the curve at the givenvalue of x and also we…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9,3) is on the…

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Q: x6 +1 -at the point (-1, 1) x4 +1 Find the equation of the tangent line to the graph of

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Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

A: Since, we have been given that f(x)=1x(a) Firstly, Our Aim is to find…

Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: A Find the slope and the equation of the tangent line to the following functions at the given point.…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: A. Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Given  y = 2x² + 4x.        (-2, 0) To find slope & equation of tangent line:

Q: Find an equation of the tangent line to y = 8x tan(x) at x = -2. 3 (Use symbolic notation and…

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Q: Consider the following curve. x + 3 X - 6 y = Find the slope m of the tangent line at the point (5,…

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

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Q: At a given point, find the slope of the curve, the line that is tangent to the curve, or the lien…

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Q: Find an equation of the tangent line to the curve at the given point. x + 1 (6, -7) x - 7 y =y= -8x…

A: y= x+1 / x-7 (6,-7 )  x- y - =13

Q: 2. Find the equation of the tangent line to the curve f (x) at the x+1 point (2,5). Write equation…

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Q: Find the tangent line equation for the given function at the given point: 3 + y + 4.x?y - 25 = 0 at…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the slope of the tangent line at the indicated point for: а? — 2а at the point (1, —2).

A: This is application of derivative.

Q: K) Finally, give the equation of the tangent line at point P(-4,-3). Show your work.

A: Equation of the tangent line to the function f(x)  at point (x1, y1): y-y1= m(x - x1) where m is the…

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: y=4-x2,  -1, 3 Now differentiating with respect to x, we get dydx=0-2x=-2x Now slope of the tangent…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: If f(x) = 7x2- x°, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: The given function is:fx=7x2-x3To find equation of tangent line at the point 1, 6

Q: go Find the equations of the tangent lines to the graph of y=x²+6 graph of a to 197 +6 that through…

A: To find out the equation of tangent line and also graph it.

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)? + (y – 3)² - 37, (-1,…

A: Differentiating with respect to x, we get Now slope of the tangent at (-1, 9) is