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Popular >

derivative of xsqrt(csc(2x))

Solution

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

Solution

csc (2 x) - x cot (2 x) csc (2 x)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = csc (2 x)

= \frac{d x}{d x} csc (2 x) + \frac{d}{d x} (csc (2 x)) x

\frac{d x}{d x} = 1

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

= 1 \cdot csc (2 x) + (- cot (2 x) csc (2 x)) x

Simplify

= csc (2 x) - x cot (2 x) csc (2 x)

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y = (5 x - 3)^{4} (2 x - 7)^{- 3}

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\int \frac{5}{27 ( x + 3 )} d x

d/(dv)(tan(u/v))

\frac{d}{d v} (tan (\frac{u}{v}))

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\int_{- \frac{π}{9}}^{\frac{π}{9}} 2 sin (3 x) - tan (3 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(csc(2x)) ?
The derivative of xsqrt(csc(2x)) is sqrt(csc(2x))-xcot(2x)sqrt(csc(2x))
What is the first derivative of xsqrt(csc(2x)) ?
The first derivative of xsqrt(csc(2x)) is sqrt(csc(2x))-xcot(2x)sqrt(csc(2x))