What is the derivative of csc(x^2) ?

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

What is the first derivative of csc(x^2) ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int sin (- 5 x^{4} - x - 6) (- 20 x^{3} - 1) d x

\int \frac{x}{1 - 3 x ^{2}} d x

f (x) = x^{2}, g (x) = 9 + x

f (x) = 1 8^{x}

\int \frac{y}{y ^{2} + 2} d y

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