What is the derivative of f(x)=sec^2(x) ?

The derivative of f(x)=sec^2(x) is 2sec^2(x)tan(x)

What is the first derivative of f(x)=sec^2(x) ?

The first derivative of f(x)=sec^2(x) is 2sec^2(x)tan(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = sec^{2} (x)

2 sec^{2} (x) tan (x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (x) sec (x) tan (x)

Simplify

2 sec (x) sec (x) tan (x) : 2 sec^{2} (x) tan (x)

= 2 sec^{2} (x) tan (x)

y = 3 x^{3} + \frac{1}{4} x^{2}

f (x) = e^{x} + 2 e^{2 x}

(0, - 5)

f (x) = x^{2}, at x = 3

m = \frac{1}{2}

What is the derivative of f(x)=sec^2(x) ?
The derivative of f(x)=sec^2(x) is 2sec^2(x)tan(x)
What is the first derivative of f(x)=sec^2(x) ?
The first derivative of f(x)=sec^2(x) is 2sec^2(x)tan(x)