What is the derivative of cos(3cos(2sqrt(u))) ?

The derivative of cos(3cos(2sqrt(u))) is (3sin(2sqrt(u))sin(3cos(2sqrt(u))))/(sqrt(u))

What is the first derivative of cos(3cos(2sqrt(u))) ?

The first derivative of cos(3cos(2sqrt(u))) is (3sin(2sqrt(u))sin(3cos(2sqrt(u))))/(sqrt(u))

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derivative of

cos (3 cos (2 u))

\frac{3 sin ( 2 u ) sin ( 3 cos ( 2 u ) )}{u}

Solution steps

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

Apply the chain rule:

- sin (3 cos (2 u)) \frac{d}{d u} (3 cos (2 u))

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

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

= - sin (3 cos (2 u)) (- \frac{3 sin ( 2 u )}{u})

Simplify

- sin (3 cos (2 u)) (- \frac{3 sin ( 2 u )}{u}) : \frac{3 sin ( 2 u ) sin ( 3 cos ( 2 u ) )}{u}

= \frac{3 sin ( 2 u ) sin ( 3 cos ( 2 u ) )}{u}

\frac{d}{d x} (x^{- 4} + cos (x))

f (x) = \frac{cos ( t )}{t ^{7}}

x \to - 3 lim (2 x + 1)

\int \frac{1}{x ^{2} + 6 x + 10} d x

(10 + x^{6}) \frac{d y}{d x} = \frac{x ^{5}}{y}

What is the derivative of cos(3cos(2sqrt(u))) ?
The derivative of cos(3cos(2sqrt(u))) is (3sin(2sqrt(u))sin(3cos(2sqrt(u))))/(sqrt(u))
What is the first derivative of cos(3cos(2sqrt(u))) ?
The first derivative of cos(3cos(2sqrt(u))) is (3sin(2sqrt(u))sin(3cos(2sqrt(u))))/(sqrt(u))