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Popular >

derivative of sin^2(cos(2x))

Solution

\frac{d}{d x} (sin^{2} (cos (2 x)))

Solution

- 4 sin (cos (2 x)) cos (cos (2 x)) sin (2 x)

Solution steps

\frac{d}{d x} (sin^{2} (cos (2 x)))

Apply the chain rule:

2 sin (cos (2 x)) \frac{d}{d x} (sin (cos (2 x)))

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

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

= 2 sin (cos (2 x)) (- 2 cos (cos (2 x)) sin (2 x))

Simplify

= - 4 sin (cos (2 x)) cos (cos (2 x)) sin (2 x)

Graph

Popular Examples

integral of 2x^3(x^4-3)^5

\int 2 x^{3} (x^{4} - 3)^{5} d x

slope of (x^2)/(x+9)slope

\frac{x ^{2}}{x + 9}

derivative of (x^3-\sqrt[4]{x^3}/(2x))

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

sum from n=1 to infinity of 9^nx^nn!

n = 1 \sum \infty 9^{n} x^{n} n!

limit as x approaches 100 of 7

x \to 100 lim (7)

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(cos(2x)) ?
The derivative of sin^2(cos(2x)) is -4sin(cos(2x))cos(cos(2x))sin(2x)
What is the first derivative of sin^2(cos(2x)) ?
The first derivative of sin^2(cos(2x)) is -4sin(cos(2x))cos(cos(2x))sin(2x)