What is the derivative of 2+4cos(x^3+3sin(x^3)) ?

The derivative of 2+4cos(x^3+3sin(x^3)) is 9x^2cos(x^3)-12x^2sin(x^3)

What is the first derivative of 2+4cos(x^3+3sin(x^3)) ?

The first derivative of 2+4cos(x^3+3sin(x^3)) is 9x^2cos(x^3)-12x^2sin(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (2 + 4 cos (x^{3}) + 3 sin (x^{3}))

9 x^{2} cos (x^{3}) - 12 x^{2} sin (x^{3})

Solution steps

\frac{d}{d x} (2 + 4 cos (x^{3}) + 3 sin (x^{3}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2) + \frac{d}{d x} (4 cos (x^{3})) + \frac{d}{d x} (3 sin (x^{3}))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (4 cos (x^{3})) = - 12 x^{2} sin (x^{3})

\frac{d}{d x} (3 sin (x^{3})) = 9 x^{2} cos (x^{3})

= 0 - 12 x^{2} sin (x^{3}) + 9 x^{2} cos (x^{3})

Simplify

= 9 x^{2} cos (x^{3}) - 12 x^{2} sin (x^{3})

f (x) = \frac{1}{5} x^{2} + \frac{200000}{x}

(1 + x^{2}) y^{^{''}} + y^{^{'}} x + a x = 0

f (t) = 3 cos (t)

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

What is the derivative of 2+4cos(x^3+3sin(x^3)) ?
The derivative of 2+4cos(x^3+3sin(x^3)) is 9x^2cos(x^3)-12x^2sin(x^3)
What is the first derivative of 2+4cos(x^3+3sin(x^3)) ?
The first derivative of 2+4cos(x^3+3sin(x^3)) is 9x^2cos(x^3)-12x^2sin(x^3)