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Popular >

derivative of sin(2cos(3x))

Solution

\frac{d}{d x} (sin (2 cos (3 x)))

Solution

- 6 cos (2 cos (3 x)) sin (3 x)

Solution steps

\frac{d}{d x} (sin (2 cos (3 x)))

Apply the chain rule:

cos (2 cos (3 x)) \frac{d}{d x} (2 cos (3 x))

= cos (2 cos (3 x)) \frac{d}{d x} (2 cos (3 x))

\frac{d}{d x} (2 cos (3 x)) = - 6 sin (3 x)

= cos (2 cos (3 x)) (- 6 sin (3 x))

Simplify

= - 6 cos (2 cos (3 x)) sin (3 x)

Popular Examples

integral of x/((x^2+25)^{1/2)}

\int \frac{x}{( x ^{2} + 25 ) ^{\frac{1}{2}}} d x

integral from-5 to 3 of x/(sqrt(x^2-9))

\int_{- 5}^{3} \frac{x}{x ^{2} - 9} d x

derivative of f(x)=(1-2t)/(3+t)derivative of

f (x) = \frac{1 - 2 t}{3 + t}

derivative of 1/10+xe^{-x}

\frac{d}{d x} (\frac{1}{10} + x e^{- x})

derivative of e^{-3x}y

\frac{d}{d x} (e^{- 3 x} y)

Frequently Asked Questions (FAQ)

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