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

The derivative of f(x)=2sec(x)tan(x) is 2(-sec(x)+2sec^3(x))

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

The first derivative of f(x)=2sec(x)tan(x) is 2(-sec(x)+2sec^3(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) = 2 sec (x) tan (x)

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sec (x), g = tan (x)

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

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

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

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

Simplify

2 (sec (x) tan (x) tan (x) + sec^{2} (x) sec (x)) : 2 (- sec (x) + 2 sec^{3} (x))

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

\int \frac{( 6 + e ^{x} ) ^{2}}{e ^{x}} d x

f (x) = e^{x} + ln (x + 1)

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

k = 1 \sum \infty k^{- 2.4}

6 x^{2} + \frac{768}{x}

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