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Popular >

derivative of y=sin^3(1-2x)

Solution

derivative of

y = sin^{3} (1 - 2 x)

Solution

- 6 sin^{2} (1 - 2 x) cos (1 - 2 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (1 - 2 x)) = - 2 cos (1 - 2 x)

= 3 (sin (1 - 2 x))^{2} (- 2 cos (1 - 2 x))

Simplify

= - 6 sin^{2} (1 - 2 x) cos (1 - 2 x)

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Frequently Asked Questions (FAQ)

What is the derivative of y=sin^3(1-2x) ?
The derivative of y=sin^3(1-2x) is -6sin^2(1-2x)cos(1-2x)
What is the first derivative of y=sin^3(1-2x) ?
The first derivative of y=sin^3(1-2x) is -6sin^2(1-2x)cos(1-2x)