Use the four-step definition of the derivative to find f'(x) if f(x) = 5x 4. f(x + h) = f(x + h) – f(x) =| f(x + h) – f(x) h f(x + h) – f(x) Find f'(x) by determining lim h0 h

Q: Find the derivative of f(x) = x²(x² + V¤)

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Q: Determine the derivative for f(x)=√x + 2 from first principles (Do NOT use shortcuts)

A: The given function is

Q: Give two applications of the derivative f(x + h) - f(x) f'(x) = lim h

A: The given function f'x=limh→0f(x+h)-f(x)h is the derivative by first principle.

Q: Use the formula  to find the derivative of the function

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Q: F(x) 1+ xe

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: 2e* f (x) = x- 2e*

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Q: g(x) = 1 + √x

A: Given g(x) = 1 + √x

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

A: Topic- derivative

Q: find the derivative  f(x)= (x1/3-5)(x2/5-3x1/5+4x-1/3)

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Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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