Find the derivative of $y=\ln\left(x^4+2\right)$y=ln(x4+2). You may use the substitution $u=x^4+2$u=x4+2.

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Find the derivative of $y=4\ln5x-x$y=4ln5x−x.

Find the derivative of $y=x^4+6\ln7x$y=x4+6ln7x.

Find the derivative of $y=4\ln x-\frac{1}{x}$y=4lnx−1x.

Outcomes

M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods