What is the derivative of (sin(x)^4) ?

The derivative of (sin(x)^4) is 4sin^3(x)cos(x)

What is the first derivative of (sin(x)^4) ?

The first derivative of (sin(x)^4) is 4sin^3(x)cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

4 sin^{3} (x) cos (x)

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (sin (x))^{3} cos (x)

Simplify

= 4 sin^{3} (x) cos (x)

\frac{\partial}{\partial x} (y^{4} cos (3 x))

\int \frac{3 x ^{2} + 2}{( x ^{3} + 2 x + 3 ) ^{5}} d x

y^{^{'}} = \frac{x ^{2} + y ^{2}}{x \cdot y}

\frac{d}{d x} (cos (10 x))

x y^{^{'}} + y^{^{'}} - (x + 1) cos (x) + y = 0

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