What is the derivative of 3sec(xtan(x)) ?

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

What is the first derivative of 3sec(xtan(x)) ?

The first derivative of 3sec(xtan(x)) is 3(-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} (3 sec (x) tan (x))

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

Solution steps

\frac{d}{d x} (3 sec (x) tan (x))

Take the constant out:

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

= 3 \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)

= 3 (\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)

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

Simplify

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

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

\int sin^{2} (2 x) cos (2 x) d x

\frac{x ^{2}}{3 x + 7}

\frac{d y}{d x}, cos^{2} (x) + cos^{2} (y) = cos (2 x + 2 y)

\frac{d}{d x} (e^{\frac{x}{( x - 1 )}})

\frac{5}{x + 6}

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