What is the derivative of cot(x^3) ?

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

What is the first derivative of cot(x^3) ?

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

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\frac{d}{d x} (cot (x^{3}))

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

Solution steps

\frac{d}{d x} (cot (x^{3}))

Apply the chain rule:

- csc^{2} (x^{3}) \frac{d}{d x} (x^{3})

= - csc^{2} (x^{3}) \frac{d}{d x} (x^{3})

\frac{d}{d x} (x^{3}) = 3 x^{2}

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

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