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

The derivative of (x^2/(a^2)) is (2x)/(a^2)

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

The first derivative of (x^2/(a^2)) is (2x)/(a^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} (\frac{x ^{2}}{a ^{2}})

\frac{2 x}{a ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{a ^{2}} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{a ^{2}} \cdot 2 x^{2 - 1} : \frac{2 x}{a ^{2}}

= \frac{2 x}{a ^{2}}

x \to \infty lim (x)

x \to 0 lim (tan^{2} (x))

\int (e^{x} + 1) (x - 4) d x

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

(x - 1)^{2} + 2, (- 1, 2)

What is the derivative of (x^2/(a^2)) ?
The derivative of (x^2/(a^2)) is (2x)/(a^2)
What is the first derivative of (x^2/(a^2)) ?
The first derivative of (x^2/(a^2)) is (2x)/(a^2)