en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3sin(x-4sin^3(x))

Solution

\frac{d}{d x} (3 sin (x) - 4 sin^{3} (x))

Solution

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

Solution steps

\frac{d}{d x} (3 sin (x) - 4 sin^{3} (x))

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

limit as x approaches 0+of 1/(1-e^x)-1/x

x \to 0 + lim (\frac{1}{1 - e ^{x}} - \frac{1}{x})

derivative of 1/(x^2+1/x)

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

integral of 6sin^2(x)cos^2(x)

\int 6 sin^{2} (x) cos^{2} (x) d x

sum from n=1 to infinity of 3/(2sqrt(n))

n = 1 \sum \infty \frac{3}{2 n}

(\partial)/(\partial x)(e^{x+2y})

\frac{\partial}{\partial x} (e^{x + 2 y})

Frequently Asked Questions (FAQ)

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