What is the derivative of 1-cos^2(x) ?

The derivative of 1-cos^2(x) is sin(2x)

What is the first derivative of 1-cos^2(x) ?

The first derivative of 1-cos^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 >

derivative of

1 - cos^{2} (x)

sin (2 x)

Solution steps

\frac{d}{d x} (1 - cos^{2} (x))

Simplify

1 - cos^{2} (x) : sin^{2} (x)

= \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)

\int x^{2} (x - 6) d x

\int_{0}^{2 π} sin^{2} (15 x) d x

x \to 4 lim (\frac{x ^{2} + 16 - 64}{x})

n = 0 \sum \infty ((\frac{1}{3})^{n})^{2}

\frac{d}{d x} (6 sin (2 π x))

What is the derivative of 1-cos^2(x) ?
The derivative of 1-cos^2(x) is sin(2x)
What is the first derivative of 1-cos^2(x) ?
The first derivative of 1-cos^2(x) is sin(2x)