What is the derivative of f(X)=\sqrt[4]{X^3}-1 ?

The derivative of f(X)=\sqrt[4]{X^3}-1 is (3X^2)/(4(X^3)^{3/4)}

What is the first derivative of f(X)=\sqrt[4]{X^3}-1 ?

The first derivative of f(X)=\sqrt[4]{X^3}-1 is (3X^2)/(4(X^3)^{3/4)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}}

Solution steps

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

\frac{d}{d X} (1) = 0

= \frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}} - 0

Simplify

= \frac{3 X ^{2}}{4 ( X ^{3} ) ^{\frac{3}{4}}}

What is the derivative of f(X)=\sqrt[4]{X^3}-1 ?
The derivative of f(X)=\sqrt[4]{X^3}-1 is (3X^2)/(4(X^3)^{3/4)}
What is the first derivative of f(X)=\sqrt[4]{X^3}-1 ?
The first derivative of f(X)=\sqrt[4]{X^3}-1 is (3X^2)/(4(X^3)^{3/4)}