Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

Q: Find an equation of the tangent line at the given point.…

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: Find the equation of the tangent line to the curve at the point (-1,-3) x³y² = - 2xy-3

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Q: Find the equation of the tangent line to the graph of x4 y2 = 144 at the point (2, 3) and at the…

A: Equation of the tangent line to the graph of x4y2=144 at the point (2, 3) Now, differentiate the…

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 an equation of the tangent line at the point indicated. y = π5x- 2 , x = 1

A: To find the equation of tangent to the given curve we need to find the point where the tangent is to…

Q: Find the equation of the line tangent to the curve f(x) = 2/(x+2) at x=0

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Q: Find an equation of the tangent line to f(x) = 3x +5 at the point (1, 8).

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Q: find an equation of the tangent line at the point indicated. f (x) = 6x , x = 2

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Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

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Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

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Q: Find the equation of the tangent line to f(x)=xe2x-2 + 3 at the point (1,4).

A: Slope of a tangent of a function at a point is equal to the value of the derivative at that point.To…

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

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Q: What is the slope of the tangent line to the graph of f(x) = x² - 3x +1 at the point (-1,5)?

A: Given: fx=x2-3x+1 To Find: The slope of the tangent line to the graph of the given function at the…

Q: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?

A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.

Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: How do you find the equation of the tangent line of xy = 36?

A: We have to discuss How do we find the equation of the tangent line of xy = 36.

Q: Find an equation of the tangent line to the curve at the point (1, y = x4e-x

A: Given that      y = x4e-x We have to find an equation of the tangent line to the curve at the point…

Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

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Q: What is the slope of the line tangent to the graph of g(x)=1/x at x=1?

A: Given that ,         g(x)=1x          find slope of tangent at x=1

Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: Find the equation of the tangent line to the graph of j f (x) =- -5e2* at the point (0, -5).

A:

Q: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: What is the equation of the tangent line to the curve x? + 2y² = 4 at point (1, 1)?

A: Find your answer below

Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: Find the slope of the tangent line to the curve x – 4xy + y° = - 23 at the point (- 3, – 2).

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Q: Find the equation of the tangent to the curve y=x²-x -2 at the point (1, -2).

A: We have to find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2).

Q: Find the equation of the tangent line to the graph of f(x) = x² – 4 at the point (3, 5). -

A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…

Q: Find the equation of the tangent line to the curve y=2x2-1 at x=2

A: .

Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: Find the equation of tangent and vertical line to the curve g=x+1/x at point (0,1)

A: First we want to check whether the given point is in the domain of the given function.

Q: The tangent line to f(x) = x² at x = –3.

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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 equation of the line tangent to the graph of y=4ln(x) at x=3.

A: Equation of tangent line

Q: Find equation of a line tangent to the graph: f(x) = xm) at xo = 1

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Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: What is the derivative of y = etan-1 2x 2

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

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Q: 2 Use the definition of derivative to find the equation of line tangent to f(x) = 2 through x = 3.

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