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

The derivative of (x^2+a^2^5) is 10x(x^2+a^2)^4

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

The first derivative of (x^2+a^2^5) is 10x(x^2+a^2)^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

10 x (x^{2} + a^{2})^{4}

Solution steps

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

Apply the chain rule:

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

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

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

= 5 (x^{2} + a^{2})^{4} \cdot 2 x

Simplify

= 10 x (x^{2} + a^{2})^{4}

What is the derivative of (x^2+a^2^5) ?
The derivative of (x^2+a^2^5) is 10x(x^2+a^2)^4
What is the first derivative of (x^2+a^2^5) ?
The first derivative of (x^2+a^2^5) is 10x(x^2+a^2)^4