What is the derivative of cot(x^6) ?

The derivative of cot(x^6) is -csc^2(x^6)*6x^5

What is the first derivative of cot(x^6) ?

The first derivative of cot(x^6) is -csc^2(x^6)*6x^5

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derivative of

cot (x^{6})

- csc^{2} (x^{6}) \cdot 6 x^{5}

Solution steps

\frac{d}{d x} (cot (x^{6}))

Apply the chain rule:

- csc^{2} (x^{6}) \frac{d}{d x} (x^{6})

= - csc^{2} (x^{6}) \frac{d}{d x} (x^{6})

\frac{d}{d x} (x^{6}) = 6 x^{5}

= - csc^{2} (x^{6}) \cdot 6 x^{5}

What is the derivative of cot(x^6) ?
The derivative of cot(x^6) is -csc^2(x^6)*6x^5
What is the first derivative of cot(x^6) ?
The first derivative of cot(x^6) is -csc^2(x^6)*6x^5