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(3-2x)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (3 - 2 x) (- 2 sec (3 - 2 x) tan (3 - 2 x))

Simplify

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

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

Popular Examples

derivative of x^2-1 derivative of

x^{2} - 1

(\partial)/(\partial x)(-xy^2+xy)

\frac{\partial}{\partial x} (- x y^{2} + x y)

derivative of (sqrt(x)/(sqrt(x-1)))

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

x^2y^'+2xy=5y^4

x^{2} y^{^{'}} + 2 x y = 5 y^{4}

(\partial)/(\partial x)(x^3+2^y+x^y)

\frac{\partial}{\partial x} (x^{3} + 2^{y} + x^{y})

Frequently Asked Questions (FAQ)

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