What is the derivative of (x^2+2x^5) ?

The derivative of (x^2+2x^5) is 5(x^2+2x)^4(2x+2)

What is the first derivative of (x^2+2x^5) ?

The first derivative of (x^2+2x^5) is 5(x^2+2x)^4(2x+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} ((x^{2} + 2 x)^{5})

5 (x^{2} + 2 x)^{4} (2 x + 2)

Solution steps

\frac{d}{d x} ((x^{2} + 2 x)^{5})

Apply the chain rule:

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

= 5 (x^{2} + 2 x)^{4} \frac{d}{d x} (x^{2} + 2 x)

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

= 5 (x^{2} + 2 x)^{4} (2 x + 2)

y = x^{2}, y = x, y = 2

\frac{d}{d x} (\frac{1 ^{2}}{2 ^{1}})

n = 0 \sum \infty (\frac{1}{2})^{2 n}

y = \frac{1}{3} e^{3 x}

\int_{0}^{1} (2 x + 1)^{4} d x

What is the derivative of (x^2+2x^5) ?
The derivative of (x^2+2x^5) is 5(x^2+2x)^4(2x+2)
What is the first derivative of (x^2+2x^5) ?
The first derivative of (x^2+2x^5) is 5(x^2+2x)^4(2x+2)