What is the derivative of 3xcot(4x-2) ?

The derivative of 3xcot(4x-2) is 3(cot(4x-2)-4xcsc^2(4x-2))

What is the first derivative of 3xcot(4x-2) ?

The first derivative of 3xcot(4x-2) is 3(cot(4x-2)-4xcsc^2(4x-2))

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 x cot (4 x - 2))

3 (cot (4 x - 2) - 4 x csc^{2} (4 x - 2))

Solution steps

\frac{d}{d x} (3 x cot (4 x - 2))

Take the constant out:

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

= 3 \frac{d}{d x} (x cot (4 x - 2))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = cot (4 x - 2)

= 3 (\frac{d x}{d x} cot (4 x - 2) + \frac{d}{d x} (cot (4 x - 2)) x)

\frac{d x}{d x} = 1

\frac{d}{d x} (cot (4 x - 2)) = - csc^{2} (4 x - 2) \cdot 4

= 3 (1 \cdot cot (4 x - 2) + (- csc^{2} (4 x - 2) \cdot 4) x)

Simplify

= 3 (cot (4 x - 2) - 4 x csc^{2} (4 x - 2))

y = x^{2} - 1, y = 8

\frac{1}{x}, \frac{5}{x}, x, 3 x

\int_{- π}^{π} sin (3 x) d x

x^{2} + y e^{x} + (e^{x} - y) (\frac{d y}{d x}) = 0

x = y^{2}, x = 4

What is the derivative of 3xcot(4x-2) ?
The derivative of 3xcot(4x-2) is 3(cot(4x-2)-4xcsc^2(4x-2))
What is the first derivative of 3xcot(4x-2) ?
The first derivative of 3xcot(4x-2) is 3(cot(4x-2)-4xcsc^2(4x-2))