"Find the derivatives. xπ+1x+17e4" was answered by our community

foass77W

Answered question

2021-09-28

Find the derivatives.

x^{π} + \frac{1}{\sqrt{x}} + 17 e^{4}

Answer & Explanation

Roosevelt Houghton

Skilled2021-09-29Added 106 answers

\frac{d}{d x} (x^{π} + \frac{1}{\sqrt{x}} + 17 e^{4})

= \frac{d}{d x} (x^{π}) + \frac{d}{d x} (\frac{1}{\sqrt{x}}) + \frac{d}{d x} (17 e^{4})

= π x^{π - 1} - \frac{1}{2 x^{\frac{3}{2}}} + 0

(using

\frac{d (x^{n})}{d x} = n x^{n - 1} and \frac{d (c o n s \tan t)}{d x} = 0

)

= π x^{π - 1} - \frac{x^{- \frac{3}{2}}}{2}

Answer

Jeffrey Jordon

Expert2022-02-01Added 2605 answers

Answer is given below (on video)

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