What is the derivative of (x^2-5^3) ?

The derivative of (x^2-5^3) is 6x(x^2-5)^2

What is the first derivative of (x^2-5^3) ?

The first derivative of (x^2-5^3) is 6x(x^2-5)^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} - 5)^{3})

6 x (x^{2} - 5)^{2}

Solution steps

\frac{d}{d x} ((x^{2} - 5)^{3})

Apply the chain rule:

3 (x^{2} - 5)^{2} \frac{d}{d x} (x^{2} - 5)

= 3 (x^{2} - 5)^{2} \frac{d}{d x} (x^{2} - 5)

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

= 3 (x^{2} - 5)^{2} \cdot 2 x

Simplify

= 6 x (x^{2} - 5)^{2}

x \to - 3 lim (+ (f (x)))

e^{θ}

\frac{d}{d x} (cot (π) x)

f (x) = 3 e^{3 x}

What is the derivative of (x^2-5^3) ?
The derivative of (x^2-5^3) is 6x(x^2-5)^2
What is the first derivative of (x^2-5^3) ?
The first derivative of (x^2-5^3) is 6x(x^2-5)^2