What is (\partial)/(\partial x)(sin^2(kx)) ?

The answer to (\partial)/(\partial x)(sin^2(kx)) is ksin(2kx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(sin^2(kx))

\frac{\partial}{\partial x} (sin^{2} (k x))

k sin (2 k x)

Solution steps

\frac{\partial}{\partial x} (sin^{2} (k x))

Apply the chain rule:

2 sin (k x) \frac{\partial}{\partial x} (sin (k x))

= 2 sin (k x) \frac{\partial}{\partial x} (sin (k x))

\frac{\partial}{\partial x} (sin (k x)) = cos (k x) k

= 2 sin (k x) cos (k x) k

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= k sin (2 k x)

y^{^{'}} - \frac{9}{x} y = \frac{( y ^{5} )}{x ^{8}}

y = sin (5 x)

\int (x^{2} + 1)^{3} d x

\int \frac{1}{2 t} d t

f (x) = x^{3}, at x = 2

What is (\partial)/(\partial x)(sin^2(kx)) ?
The answer to (\partial)/(\partial x)(sin^2(kx)) is ksin(2kx)