Find the derivatives of the following function.y=\cot 7x^{3}

Cheyanne Leigh 2021-09-20 Answered

Find the derivatives of the following function.
\(\displaystyle{y}={\cot{{7}}}{x}^{{{3}}}\)
\(y'=\)

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Expert Answer

pivonie8
Answered 2021-09-21 Author has 15135 answers

Step 1
Given
\(\displaystyle{y}={\cot{{7}}}{x}^{{{3}}}\)
To find
\(y'.\)
Step 2
\(\displaystyle{\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({\cot{{x}}}\right)}=-{\cos{{e}}}{c}^{{{2}}}{x}\)
\(\displaystyle{y}'=-{\cos{{e}}}{x}{\left({7}{x}^{{{3}}}\right)}\times{21}{x}^{{{2}}}\)
\(\displaystyle=-{21}{x}^{{{2}}}{\cos{{e}}}{c}^{{{2}}}{\left({7}{x}^{{{3}}}\right)}\).

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