Find the equation of the line tangent to the graph of the function at the indicated point. f(x)=x² +4 at (-4,20) O A. y = - 8x - 24 B. y = - 4x-12 O C. y = O D. y 8x - 12 8x- 28

Q: Write an equation of the tangent line to ƒ(x) = 7x² – 3x at x = - 1. Equation:

A: Given,

Q: Find the difference quotient en-7 for each of the given functions. B. f(x) = 3x + 2 Find the slope…

A: Solution

Q: y D. E.

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Q: You are asked to find the equation of a horizontal tangent line to the curve y=3x3+2ex+2x. Use…

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Q: If at every point of a certain curve, the slope of -2x the curve is y the tangent equals

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: where x = 6.

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Q: State the rule that has to be applied first in order to differentiation the function y = -5te2t. a.…

A: We have a function y = -5te2t . Now we need to find which rule needs to be applied first to…

Q: What is the equation of the tangent to the curve of the function: f(x) = 6x³ + 4x² +3x+2 when x = 1?

A: The given function is: f(x)= 6x3+4x2+3x+2At x=1, y=f(1)= 6+4+3+2= 15

Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution