What is the derivative of 3sin^2(x)+2tan(x) ?

The derivative of 3sin^2(x)+2tan(x) is 3sin(2x)+2sec^2(x)

What is the first derivative of 3sin^2(x)+2tan(x) ?

The first derivative of 3sin^2(x)+2tan(x) is 3sin(2x)+2sec^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

3 sin^{2} (x) + 2 tan (x)

3 sin (2 x) + 2 sec^{2} (x)

Solution steps

\frac{d}{d x} (3 sin^{2} (x) + 2 tan (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 sin^{2} (x)) + \frac{d}{d x} (2 tan (x))

\frac{d}{d x} (3 sin^{2} (x)) = 3 sin (2 x)

\frac{d}{d x} (2 tan (x)) = 2 sec^{2} (x)

= 3 sin (2 x) + 2 sec^{2} (x)

What is the derivative of 3sin^2(x)+2tan(x) ?
The derivative of 3sin^2(x)+2tan(x) is 3sin(2x)+2sec^2(x)
What is the first derivative of 3sin^2(x)+2tan(x) ?
The first derivative of 3sin^2(x)+2tan(x) is 3sin(2x)+2sec^2(x)