Calc2.17

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Find the derivative of f(x)\, with respect to x\,: f(x)=(x^{3}+7x)^{3}\,

This is the Generalized Power Rule, a special case of the Chain Rule. We have a function to a power. As with the power rule, bring down the power and subtract one from the exponent. In addition, the chain rule tells us to multiply by the derivative of the inside function.

f'(x)=3(x^{3}+7x)^{2}(3x^{2}+7)\,


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