What is the derivative of cot(x^4) ?

The derivative of cot(x^4) is -csc^2(x^4)*4x^3

What is the first derivative of cot(x^4) ?

The first derivative of cot(x^4) is -csc^2(x^4)*4x^3

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\frac{d}{d x} (cot (x^{4}))

- csc^{2} (x^{4}) \cdot 4 x^{3}

Solution steps

\frac{d}{d x} (cot (x^{4}))

Apply the chain rule:

- csc^{2} (x^{4}) \frac{d}{d x} (x^{4})

= - csc^{2} (x^{4}) \frac{d}{d x} (x^{4})

\frac{d}{d x} (x^{4}) = 4 x^{3}

= - csc^{2} (x^{4}) \cdot 4 x^{3}

What is the derivative of cot(x^4) ?
The derivative of cot(x^4) is -csc^2(x^4)*4x^3
What is the first derivative of cot(x^4) ?
The first derivative of cot(x^4) is -csc^2(x^4)*4x^3