en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x^2+3x-2^4)

Solution

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

Solution

4 (x^{2} + 3 x - 2)^{3} (2 x + 3)

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (x^{2} + 3 x - 2)^{3} (2 x + 3)

Popular Examples

limit as x approaches 0 of (tan(6x))/(sin(5x))

x \to 0 lim (\frac{tan ( 6 x )}{sin ( 5 x )})

(\partial)/(\partial x)(x^2+16xw+64w^2)

\frac{\partial}{\partial x} (x^{2} + 16 x w + 64 w^{2})

limit as x approaches 3-of (2x+1)/(x-3)

x \to 3 - lim (\frac{2 x + 1}{x - 3})

limit as x approaches 0-of 4/(5x^{1/3)}

x \to 0 - lim (\frac{4}{5 x ^{\frac{1}{3}}})

integral of 5/2

\int \frac{5}{2} d x

Frequently Asked Questions (FAQ)

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