Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and that f(2)= -2. Then f'(2) = ?

Q: Find the equation of the tangent line to the curve f(x)= at the point (1, 1+x² -).

A: The equation of the tangent line: - The formula y – y1 = m (x – x1) can be used to find the equation…

Q: Determine the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2x) at x =…

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Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

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Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: 7. If the tangent line to y = f(x) at (-1,3) passes through the point (2,1), find fl-1) and f'(-1).

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Q: Write the equation of the tangent line of the given equation through the given 3 point y = x° – 3x +…

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Q: Find an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: 4. x-y = 2 at (2, 2)

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Q: Find the equation of the tangent line to the curve 3x f (x): at the point (1,). 1+5x2

A: Given: The function fx=3x1+5x2 and the point 1,12, To determine: The equation of tangent line to the…

Q: 8. Find the point of the graph of f (x) = xe-2x where the tangent line is horizontal. %3D

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Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

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Q: Where on the interval [0, 4] does ƒ(x) = 4x - x2 have a horizontal tangent line?

A: Determine the value for derivative of f(x) i.e f'(x). fx=4x−x2f'x=ddx4x−x2=ddx4x−ddxx2=4×ddxx−2xSo,…

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)

A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…

Q: Find an equation of the tangent line to f(x) = x° – 2x +1 at the point (0, 1).

A: The given function is: f(x)=x3-2x+1

Q: What is the equation of the tangent line at 3x+1 (0₁²) of f(x)= ³x + 1 0, 2 X-2

A: Diffrentiation of f(x) is done using product rule diffrentiation.…

Q: Find f(x) if f(1) = -1 and the tangent line at (x, f(x)) has slope 3ex+7 f(x)= ?

A: Given:

Q: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Find an equation of the tangent line to the graph of f at the given point. ru) - -17) x + 8 f(x) x -…

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Q: The slope of the tangent line to f(x) = cos(x) · sin(x) at x - 2т is

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Q: Determine equation of tangent line to the curve at given point. a) f (x)= 3x² - 5x +2 at x = -3 %3D

A: Equation of straight line is given by y = mx + c ; where m is the slope c is the y intercept. For…

Q: Find an equation of the tangent line to the curve at the giv y = In(x2 - 3x + 1), (3, 0) y =

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Q: Find the tangent line to the graph of f(x)=(x+1)/(x-1) at the point (2,3)

A: As we know that; The slope of the tangent line to the curve at a given point is equal to the first…

Q: Find the equation of the tangent line of f(x)=x−(1/x) at x =1.

A: Given function is fx=x-1x Above function can be written as y=x-1x. At x=1, y=1-11=1-1=0 So, given…

Q: Find an equation of the tangent line to the curve at thegiven point.

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

Q: Find the slope of the tangent line to the graph of f(x) = x2 + x at (2, 6).

A: Given :fx = x2+x

Q: Find the equation of the tangent line to the graph of f(x) = 1 at the point (2,1). x-1

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

Q: Compute the equation of the tangent line to f (x) = sin(Tx) at x=0.5.

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Q: Find the equation of the tangent line to the graph of the function f (x) r+3 at the point (0,-). -4

A: Given: fx=x+3x-4 at the point0, -34

Q: 4. Find the tangent line to the function f(x) =;xVx² + 5 at the point (2,2).

A: Tangent line of a function:  Differentiate the equation of the curve Substitute the value into the…

Q: Find the equation of the tangent line of f (x)= x² In x at x=1.

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Q: f'(x) at x if f(x) = csc³(x).

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Q: 2 Determine the equation of the tangent line to the graph of f(x) = Vx-12x at the point where x -3.

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Q: Determine the equation of the tangent line to f(x) = ln(x-2) at x=4.

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Q: Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

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Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

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Q: The slope of the tangent line to the graph ofr-y In(ry) at the point (1, 1) is

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Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

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Q: Find the slope of the tangent line at x=3 for f(x) = 6x^1.52 - cos(2x^2) + square root of 5

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Q: The slope of the tangent line to the graph of xy = In(x² + y²) at the point (1, 0) is

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: Find the equation of the tangent line to f(x)=-2sin(x) at x=0

A: We have to find the equation of tangent line

Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x² - 3xt 1), (3, 0) y…

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Q: The slope of the tangent line to the curve 2xy + T cos y = 2n at point (1,“) is:

A: The given equation is 2xy+π cos y=2π and the point is 1, π2. Evaluate the slope  y' using implicit…