What is the derivative of sin^2(x^5) ?

The derivative of sin^2(x^5) is 10x^4sin(x^5)cos(x^5)

What is the first derivative of sin^2(x^5) ?

The first derivative of sin^2(x^5) is 10x^4sin(x^5)cos(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin^{2} (x^{5})

10 x^{4} sin (x^{5}) cos (x^{5})

Solution steps

\frac{d}{d x} (sin^{2} (x^{5}))

Apply the chain rule:

2 sin (x^{5}) \frac{d}{d x} (sin (x^{5}))

= 2 sin (x^{5}) \frac{d}{d x} (sin (x^{5}))

\frac{d}{d x} (sin (x^{5})) = cos (x^{5}) \cdot 5 x^{4}

= 2 sin (x^{5}) cos (x^{5}) \cdot 5 x^{4}

Simplify

= 10 x^{4} sin (x^{5}) cos (x^{5})

What is the derivative of sin^2(x^5) ?
The derivative of sin^2(x^5) is 10x^4sin(x^5)cos(x^5)
What is the first derivative of sin^2(x^5) ?
The first derivative of sin^2(x^5) is 10x^4sin(x^5)cos(x^5)