en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sec^2(3x*3)

Solution

\frac{d}{d x} (sec^{2} (3 x) \cdot 3)

Solution

18 sec^{2} (3 x) tan (3 x)

Solution steps

\frac{d}{d x} (sec^{2} (3 x) \cdot 3)

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 3 \cdot 2 sec (3 x) sec (3 x) tan (3 x) \cdot 3

Simplify

3 \cdot 2 sec (3 x) sec (3 x) tan (3 x) \cdot 3 : 18 sec^{2} (3 x) tan (3 x)

= 18 sec^{2} (3 x) tan (3 x)

Popular Examples

limit as x approaches-10-of sqrt(4x+40)

x \to - 10 - lim (4 x + 40)

tangent of f(x)=26-x^2,(-5,1)tangent of

f (x) = 26 - x^{2}, (- 5, 1)

derivative of f(x)=2xe^{-x}derivative of

f (x) = 2 x e^{- x}

integral of 1/(sqrt(2x+1))

\int \frac{1}{2 x + 1} d x

maclaurin f(x)= 1/(2x-5)maclaurin

f (x) = \frac{1}{2 x - 5}

Frequently Asked Questions (FAQ)

What is the derivative of sec^2(3x*3) ?
The derivative of sec^2(3x*3) is 18sec^2(3x)tan(3x)
What is the first derivative of sec^2(3x*3) ?
The first derivative of sec^2(3x*3) is 18sec^2(3x)tan(3x)