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# Find the derivative

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Find the derivative using the derivatives formula, f(x+h)-f(x)/h of f(x)= 3x^3 + 2x^2 + x + 1

May 22, 2022

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Find the derivative using the derivatives formula, [f(x+h)-f(x)]/h of f(x)= 3x^3 + 2x^2 + x + 1

f(x)= 3x^3 + 2x^2 + x + 1

f(x+h)= 3x(x+h)^3 + 2(x+h)^2 + (x+h) + 1

$$\displaystyle \frac{f(x+h)-f(x)}{h} = \frac{[ 3x(x+h)^3 + 2(x+h)^2 + (x+h) + 1] - [3x^3 + 2x^2 + x + 1] }{h}$$

now simplify

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This has been edited in order to correct copy errors.

Thanks Alan.

May 22, 2022
edited by Melody  May 22, 2022