Check the solution to "Find the derivatives of the following function. y=log2−9⋅x3"

CheemnCatelvew

Answered question

2021-05-27

Find the derivatives of the following function.

y = \log_{2} - 9 \cdot x^{3}

toroztatG

Skilled2021-05-28Added 98 answers

Step 1
Find the derivatives of the following function.

y = \log_{2} - 9 \cdot x^{3}

Step 2

y = \log_{2} (- 9 x^{3})

y = \log_{2} (- 9) + \log_{2} (x^{3})

y = \log_{2} (- 9) + \frac{{\log x}^{3}}{\log 2}

y = \log_{2} (- 9) + \frac{3 \log x}{\log 2}

differentiate y with respect to x, we get

\frac{d y}{d x} = 0 + \frac{1}{\log 2} (\frac{3}{x})

\frac{d y}{d x} = \frac{3}{x \log 2}

This is the required answer.

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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