How to Find the Derivatives of tan 2 </msup> &#x2061;<!-- ⁡ --> ( x

Kenley Wagner

Kenley Wagner

Answered question

2022-05-19

How to Find the Derivatives of tan 2 ( x 4 ) and sec 3 ( x 5 )?

Answer & Explanation

nifeonibonitozg

nifeonibonitozg

Beginner2022-05-20Added 12 answers

Hint. By the chain rule, you rather have
( tan 2 ( x 4 ) ) = 2 × 4 x 3 × sec 2 ( x 4 ) × tan ( x 4 )
and
( sec 3 ( x 5 ) ) = 3 × 5 x 4 × sec ( x 5 ) × tan ( x 5 ) × sec 2 ( x 5 )
Brice Colon

Brice Colon

Beginner2022-05-21Added 3 answers

Use the Chain rule three times:
d d x ( tan 2 ( x 4 ) ) = ( 2 ) tan ( x 4 ) sec 2 ( x 4 ) 4 x 3 = 8 x 3 s i n ( x 4 ) c o s 3 ( x 4 ) . Try for the second one.

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