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

The derivative of sin(x^2+sin^2(x)) is cos(x^2)*2x+sin(2x)

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

The first derivative of sin(x^2+sin^2(x)) is cos(x^2)*2x+sin(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

cos (x^{2}) \cdot 2 x + sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

What is the derivative of sin(x^2+sin^2(x)) ?
The derivative of sin(x^2+sin^2(x)) is cos(x^2)*2x+sin(2x)
What is the first derivative of sin(x^2+sin^2(x)) ?
The first derivative of sin(x^2+sin^2(x)) is cos(x^2)*2x+sin(2x)