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

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

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

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

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derivative of

f (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 \frac{- y}{1 + y ^{2}} d y

\int_{0}^{2} \frac{1}{4 - x ^{2}} d x

(e^{y} + 6 x) d x + x e^{y} d y = 0

x \to \frac{1}{2} lim (4 x^{2} - 8 x + 5)

\int \frac{2}{1 - ( 2 x ) ^{2}} d x

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