# Find derivatives of the functions defined as follows.y=3*4^(x^2+2)

Clifland 2021-03-06 Answered

Find derivatives of the functions defined as follows. $y=3\cdot {4}^{{x}^{2}+2}$

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## Expert Answer

Arnold Odonnell
Answered 2021-03-07 Author has 109 answers

$\frac{dy}{dx}=3\cdot {4}^{{x}^{2}+2}\mathrm{ln}4\left(2x\right)$
$\frac{dy}{dx}=\left(6x\mathrm{ln}4\right)\cdot 4\left({x}^{2}+2\right)$

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