en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of tan(2x)+sec(3x)

Solution

derivative of

tan (2 x) + sec (3 x)

Solution

sec^{2} (2 x) \cdot 2 + sec (3 x) tan (3 x) \cdot 3

Solution steps

\frac{d}{d x} (tan (2 x) + sec (3 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (tan (2 x)) + \frac{d}{d x} (sec (3 x))

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

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

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

Graph

Popular Examples

derivative of x^2(x+1)derivative of

x^{2} (x + 1)

derivative of ((1-x)^2)/(x^2)derivative of

\frac{( 1 - x ) ^{2}}{x ^{2}}

derivative of (arcsin(x))^2 derivative of

(arcsin (x))^{2}

derivative of y=4cos^4(x^2)derivative of

y = 4 cos^{4} (x^{2})

derivative of n+1 derivative of

n + 1

Frequently Asked Questions (FAQ)

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