Use the Power Rule to compute the derivative. ddxx0.35

Step 1:Introduction The power rule of derivative is given by: ddx(xn)=nxn−1 Step 2:To determine Evaluate: ddx(x0.35) Step 3:Solution Consider ddx(x0.35) Using power rule of derivatives, we get, ddx(x0.35) =0.35x0.35−1 =0.35x−0.65 Hence, ddx(x0.35)=0.35x−0.65 Step 4:Conclusion Hence, ddx(x0.35)=0.35x−0.65

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Answered question

2021-11-22

Use the Power Rule to compute the derivative.

\frac{d}{d x} x^{0.35}

Answer & Explanation

Parminquale

Beginner2021-11-23Added 17 answers

Step 1:Introduction
The power rule of derivative is given by:

\frac{d}{d x} (x^{n}) = n x^{n - 1}

Step 2:To determine
Evaluate:

\frac{d}{d x} (x^{0.35})

Step 3:Solution
Consider

\frac{d}{d x} (x^{0.35})

Using power rule of derivatives, we get,

\frac{d}{d x} (x^{0.35})

= 0.35 x^{0.35 - 1}

= 0.35 x^{- 0.65}

Hence,

\frac{d}{d x} (x^{0.35}) = 0.35 x^{- 0.65}

Step 4:Conclusion
Hence,

\frac{d}{d x} (x^{0.35}) = 0.35 x^{- 0.65}

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