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

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

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