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

The derivative of tan^2(xsec^2(x)) is 2sec^4(x)tan(x)+2tan^3(x)sec^2(x)

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

The first derivative of tan^2(xsec^2(x)) is 2sec^4(x)tan(x)+2tan^3(x)sec^2(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} (tan^{2} (x) sec^{2} (x))

2 sec^{4} (x) tan (x) + 2 tan^{3} (x) sec^{2} (x)

Solution steps

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

Apply the Product Rule:

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

f = tan^{2} (x), g = sec^{2} (x)

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

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

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

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

Simplify

2 tan (x) sec^{2} (x) sec^{2} (x) + 2 sec^{2} (x) tan (x) tan^{2} (x) : 2 sec^{4} (x) tan (x) + 2 tan^{3} (x) sec^{2} (x)

= 2 sec^{4} (x) tan (x) + 2 tan^{3} (x) sec^{2} (x)

\frac{d}{d x} (3 x + 4)

\int_{0}^{1} 3 (1 - x)^{2} d x

\frac{( 5 ln ( x ) )}{x}

n = 1 \sum \infty 4 (\frac{1}{2})^{n}

\frac{d}{d x} ((8 x)^{\frac{1}{3}})

What is the derivative of tan^2(xsec^2(x)) ?
The derivative of tan^2(xsec^2(x)) is 2sec^4(x)tan(x)+2tan^3(x)sec^2(x)
What is the first derivative of tan^2(xsec^2(x)) ?
The first derivative of tan^2(xsec^2(x)) is 2sec^4(x)tan(x)+2tan^3(x)sec^2(x)