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Popular >

derivative of 2cos(sin(x))

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

- sin (sin (x)) \frac{d}{d x} (sin (x))

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

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

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

Simplify

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

Popular Examples

slope of y=2x^2+3/x slope

y = 2 x^{2} + \frac{3}{x}

integral of 4sin^3(6x)cos^3(6x)

\int 4 sin^{3} (6 x) cos^{3} (6 x) d x

integral of (-2xy)/((x^2+y^2)^2)

\int \frac{- 2 x y}{( x ^{2} + y ^{2} ) ^{2}} d y

limit as x approaches-3 of 3x+2

x \to - 3 lim (3 x + 2)

(\partial)/(\partial x)(ycos(x)+sin(x))

\frac{\partial}{\partial x} (y cos (x) + sin (x))

Frequently Asked Questions (FAQ)

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