trkshspo

2023-03-11

What is the derivative of $e}^{x\mathrm{ln}2$?

Nhluvukoj6m

Beginner2023-03-12Added 6 answers

This can be done either by the Chain Rule ($\frac{d}{dx}\left(f\left(g\left(x\right)\right)\right)=f\prime \left(g\left(x\right)\right)\cdot g\prime \left(x\right)$) or by recognizing that $e}^{x\cdot \mathrm{ln}\left(2\right)}={e}^{\mathrm{ln}\left({2}^{x}\right)}={2}^{x$ and recalling that $\frac{d}{dx}\left({b}^{x}\right)=\mathrm{ln}\left(b\right)\cdot {b}^{x}$ when $b>0$.

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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