Question: "Find the derivatives of the function defined as..." - Plainmath

Khadija Wells

Answered question

2021-10-14

Find the derivatives of the function defined as follows.

y = \ln | \tan^{2} x |

Answer & Explanation

ensojadasH

Skilled2021-10-15Added 100 answers

Step 1
The function is:

y = \ln | \tan^{2} x |

Find the derivative of the function.
Step 2
The derivative of the function is:

\frac{d y}{d x} = \frac{1}{| \tan^{2} x |} \times \frac{d}{d x} | \tan^{2} x |

= \frac{1}{| \tan^{2} x |} \times \frac{d}{d x} | \tan^{2} x |

= \frac{1}{| \tan^{2} x |} \times 2 \tan x \times \sec^{2} x

= \frac{2 \sec^{2} x}{\tan x}

Jeffrey Jordon

Expert2022-08-15Added 2605 answers

Answer is given below (on video)

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