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Calculating Derivative – A polynom – Exercise 6264

Exercise

Find the derivative of the following function:

f(x)={(2x-7)}^{20}

Final Answer


f'(x)=40{(2x-7)}^{19}

Solution

f(x)={(2x-7)}^{20}

Using Derivative formulas and chain rule in Derivative Rules, we get the derivative:

f'(x)=20{(2x-7)}^{19}\cdot 2=

One can simplify the derivative:

=40{(2x-7)}^{19}

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