What is the derivative of (t^3)/a ?

The derivative of (t^3)/a is (3t^2)/a

What is the first derivative of (t^3)/a ?

The first derivative of (t^3)/a is (3t^2)/a

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{t ^{3}}{a}

\frac{3 t ^{2}}{a}

Solution steps

\frac{d}{d t} (\frac{t ^{3}}{a})

Treat

a

as a constant

Take the constant out:

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

= \frac{1}{a} \frac{d}{d t} (t^{3})

Apply the Power Rule:

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

= \frac{1}{a} \cdot 3 t^{3 - 1}

Simplify

\frac{1}{a} \cdot 3 t^{3 - 1} : \frac{3 t ^{2}}{a}

= \frac{3 t ^{2}}{a}

y^{^{'}} = e^{2 y}

\int cos (x) csc^{8} (x) d x

\frac{d}{d x} (csc^{5} (x))

\int sin (7 x) cos (3 x) d x

\frac{d y}{d x} = 0.5 (y - 200)

What is the derivative of (t^3)/a ?
The derivative of (t^3)/a is (3t^2)/a
What is the first derivative of (t^3)/a ?
The first derivative of (t^3)/a is (3t^2)/a