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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

sin (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sin (x) cos (x)

Use the Double Angle identity:

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

= sin (2 x)

\int \frac{1}{( x + 4 ) ( x - 1 )} d x

a re a y = e^{x}, y = e^{- 3 x}, x = ln (5)

\int x^{2} + 2 x + 5 d x

t an g e n t f (x) = x^{2} + 8, (4, 24)

\frac{d}{d x} (\frac{3 - 2 x}{3 + 2 x})

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