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Popular >

derivative of sqrt(sin^3(4x))

Solution

derivative of

sin^{3} (4 x)

Solution

\frac{1}{2 sin ^{3} ( 4 x )} \cdot 12 sin^{2} (4 x) cos (4 x)

Solution steps

\frac{d}{d x} (sin^{3} (4 x))

Apply the chain rule:

\frac{1}{2 sin ^{3} ( 4 x )} \frac{d}{d x} (sin^{3} (4 x))

= \frac{1}{2 sin ^{3} ( 4 x )} \frac{d}{d x} (sin^{3} (4 x))

\frac{d}{d x} (sin^{3} (4 x)) = 12 sin^{2} (4 x) cos (4 x)

= \frac{1}{2 sin ^{3} ( 4 x )} \cdot 12 sin^{2} (4 x) cos (4 x)

Graph

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y^{^{'}} - 5 y = 0

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\frac{d}{d x} (\frac{1}{( 1 - 2500 x ) ^{4}})

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\int \frac{1}{t ^{4}} d t

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n = 1 \sum \infty - \frac{15}{2} \cdot (\frac{2}{3})^{n}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(sin^3(4x)) ?
The derivative of sqrt(sin^3(4x)) is 1/(2sqrt(sin^3(4x)))*12sin^2(4x)cos(4x)
What is the first derivative of sqrt(sin^3(4x)) ?
The first derivative of sqrt(sin^3(4x)) is 1/(2sqrt(sin^3(4x)))*12sin^2(4x)cos(4x)