Question

Find the derivative of the function.
y = (5x − 3)^4(7x2 − 2)^−3
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Answer 1

product rule plus chain rule

Answer 2

\[\left(fg\right)'=f'g+g'f\]with
\[f(x)=(5x-3)^4, f'(x)=4(5x-3)^2\times 5\]
\[g(x)=(7x^2-2)^{-3}, g'(x)=-3(7x^2-2)^{-4}\times 14x\]

Answer 3

4(5x-3^2(5)(7x^2-2)^-3+-3(7x^2-2)^-4(14)(5x-3)^4
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