Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x² – 3x + 8 %3D - the definition of the derivative f(x + h) – f(x) f'(x) = lim h-0 h What is the slope of tangent line to this curve at x = 1?

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…

Q: 3x + 1 etermine the approximate slope of the tangent to the curve f(x) = 2x+7 at x = -2, to one…

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Q: ...... . . *********************** .... ...... ......... Find the slope of the graph of the function…

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Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Find f'(x). 1 f(x) You must use the "definition" of derivative. /x + 5

A: To determine the derivative of the function.

Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

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Q: Find the derivative of f (w) = 7ln (w) + 18.

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Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: 25

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv…

Q: Find the derivative of the function. y' = y = 6-3x Need Help? Read It Watch It

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Q: y = 2x² - 8x. Determine the slope of the tangent to the function at x = 2.

A: To find the derivative of the function y=2x2-8xusing first principles,we start by using the…

Q: Since you know how to find the derivative of a product of two functions, use the idea of…

A: The objective is to use the idea of associativity to find the derivative of the product of three…