What is the derivative of-sin^2(x) ?

The derivative of-sin^2(x) is -sin(2x)

What is the first derivative of-sin^2(x) ?

The first derivative of-sin^2(x) is -sin(2x)

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^{2} (x))

- sin (2 x)

Solution steps

\frac{d}{d x} (- sin^{2} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d x} (sin^{2} (x))

Apply the chain rule:

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

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

\frac{d}{d 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)

\frac{\partial}{\partial y} (2 ln (y))

\int \frac{1}{9 x - 5} d x

sin (7 x) - cos (4 x)

h (x) = \frac{1}{x ^{5}}

\frac{\partial}{\partial x} (π x x^{2} + h^{2})

What is the derivative of-sin^2(x) ?
The derivative of-sin^2(x) is -sin(2x)
What is the first derivative of-sin^2(x) ?
The first derivative of-sin^2(x) is -sin(2x)