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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

f (x) = \frac{8 x ^{2} - x + 5}{x + 5}

\frac{d}{d y} (sin (x y^{2}))

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