What is the derivative of 2tan(xsec(x)) ?

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

What is the first derivative of 2tan(xsec(x)) ?

The first derivative of 2tan(xsec(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 >

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

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

\frac{d}{d x} (- 3 x)

\frac{d}{d t} (t^{3} + 1)

\int x + e^{z} d x

x \to 3 lim ((x - 1)^{2} (x + 1))

\frac{d}{d x} (\frac{1 + sin ( x )}{x + cos ( x )})

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