. Let f(x) = 5x² - 10x - 17. (a) Use limit method to find f'(x). Show all of your work. (b) Find an equation of the tangent line and an equation of normal line to the graph of y = f(x) f(x) where the normal line is at the point (-1,-7). Then find the point on the graph of y = vertical.

Q: 4 find f'(3). x2 If f(x) =

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Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

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Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

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A: Given: --------------------------------------------------------------------------------------------…

Q: b) Using the given graph of f(x) check the box next to the best choice for the graph of the…

A: Given:-                   Using the given graph of f(x) check the box next to the best choice for…

Q: The graph above shows the graph of f'(x), the derivative of a function f(x). It is known that f"(-8)…

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Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…