What is the derivative of t^3-1/(\sqrt[4]{t^5)} ?

The derivative of t^3-1/(\sqrt[4]{t^5)} is 3t^2+(5t^4)/(4(t^5)^{5/4)}

What is the first derivative of t^3-1/(\sqrt[4]{t^5)} ?

The first derivative of t^3-1/(\sqrt[4]{t^5)} is 3t^2+(5t^4)/(4(t^5)^{5/4)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

3 t^{2} + \frac{5 t ^{4}}{4 ( t ^{5} ) ^{\frac{5}{4}}}

Solution steps

Apply the Sum/Difference Rule:

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

\frac{d}{d t} (t^{3}) = 3 t^{2}

= 3 t^{2} - (- \frac{5 t ^{4}}{4 ( t ^{5} ) ^{\frac{5}{4}}})

Simplify

= 3 t^{2} + \frac{5 t ^{4}}{4 ( t ^{5} ) ^{\frac{5}{4}}}

\int cot^{3} (x) csc^{5} (x) d x

\int sin (2 x) cos^{5} (2 x) d x

\frac{\partial}{\partial x} (x^{4} sin (y^{9} z^{9}))

x \to 5 lim (\frac{x ^{2} - 25}{3 x - 15})

What is the derivative of t^3-1/(\sqrt[4]{t^5)} ?
The derivative of t^3-1/(\sqrt[4]{t^5)} is 3t^2+(5t^4)/(4(t^5)^{5/4)}
What is the first derivative of t^3-1/(\sqrt[4]{t^5)} ?
The first derivative of t^3-1/(\sqrt[4]{t^5)} is 3t^2+(5t^4)/(4(t^5)^{5/4)}