What is the derivative of cos^3(tan(3x)) ?

The derivative of cos^3(tan(3x)) is -9cos^2(tan(3x))sec^2(3x)sin(tan(3x))

What is the first derivative of cos^3(tan(3x)) ?

The first derivative of cos^3(tan(3x)) is -9cos^2(tan(3x))sec^2(3x)sin(tan(3x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

cos^{3} (tan (3 x))

- 9 cos^{2} (tan (3 x)) sec^{2} (3 x) sin (tan (3 x))

Solution steps

\frac{d}{d x} (cos^{3} (tan (3 x)))

Apply the chain rule:

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

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

\frac{d}{d x} (cos (tan (3 x))) = - sin (tan (3 x)) sec^{2} (3 x) \cdot 3

= 3 (cos (tan (3 x)))^{2} (- sin (tan (3 x)) sec^{2} (3 x) \cdot 3)

Simplify

= - 9 cos^{2} (tan (3 x)) sec^{2} (3 x) sin (tan (3 x))

\int 2 e^{t} d t

y = (4 x^{2} - 13)^{- 11}

\frac{x}{a}

\int \frac{x - 3}{x ^{3}} d x

\frac{d}{d x} (16 - 5 x^{2})

What is the derivative of cos^3(tan(3x)) ?
The derivative of cos^3(tan(3x)) is -9cos^2(tan(3x))sec^2(3x)sin(tan(3x))
What is the first derivative of cos^3(tan(3x)) ?
The first derivative of cos^3(tan(3x)) is -9cos^2(tan(3x))sec^2(3x)sin(tan(3x))