What is the derivative of sin(cos^2(x)) ?

The derivative of sin(cos^2(x)) is -cos(cos^2(x))sin(2x)

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

The first derivative of sin(cos^2(x)) is -cos(cos^2(x))sin(2x)

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

n = 0 \sum \infty (\frac{4}{9})^{n}

x^{2} - 8, 1

\frac{d y}{d x} = y

y^{^{''}} + y + x = 0, y (0) = 0, y^{^{'}} (1) = 0

\frac{s + 2}{s ^{2} + 4 s + 6}

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