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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sin^{2} (5 x)

5 sin (10 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sin (5 x) cos (5 x) \cdot 5

Simplify

2 sin (5 x) cos (5 x) \cdot 5 : 5 sin (10 x)

= 5 sin (10 x)

d y + y d x = 2 x y^{2} e^{x} d x

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

\int \frac{1}{8 - 7 x} d x

\int (x^{2} + 2 x) cos (x) d x

\frac{d}{d x} ((x^{4}))

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