en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of 3csc^2(x)

Solution

\frac{d}{d x} (3 csc^{2} (x))

Solution

- 6 csc^{2} (x) cot (x)

Solution steps

\frac{d}{d x} (3 csc^{2} (x))

Take the constant out:

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

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

Apply the chain rule:

2 csc (x) \frac{d}{d x} (csc (x))

= 2 csc (x) \frac{d}{d x} (csc (x))

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= 3 \cdot 2 csc (x) (- cot (x) csc (x))

Simplify

3 \cdot 2 csc (x) (- cot (x) csc (x)) : - 6 csc^{2} (x) cot (x)

= - 6 csc^{2} (x) cot (x)

Graph

Popular Examples

integral of x(1+x)^{1/4}

\int x (1 + x)^{\frac{1}{4}} d x

derivative of f(x)=(e^x)/(x^2+4),x=1

d er i v a t i v e f (x) = \frac{e ^{x}}{x ^{2} + 4}, x = 1

tangent of x^4-3x^3+2x^2-x+1

t an g e n t x^{4} - 3 x^{3} + 2 x^{2} - x + 1

derivative of f(x)=x^5cos(2x)

d er i v a t i v e f (x) = x^{5} cos (2 x)

integral of x/(x^2sin^2(ln(x)))

\int \frac{x}{x ^{2} sin ^{2} ( ln ( x ) )} d x

Frequently Asked Questions (FAQ)

What is the derivative of 3csc^2(x) ?
The derivative of 3csc^2(x) is -6csc^2(x)cot(x)
What is the first derivative of 3csc^2(x) ?
The first derivative of 3csc^2(x) is -6csc^2(x)cot(x)