What is the derivative of 6sqrt(t^5) ?

The derivative of 6sqrt(t^5) is 15t^{3/2}

What is the first derivative of 6sqrt(t^5) ?

The first derivative of 6sqrt(t^5) is 15t^{3/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

6 t^{5}

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

Solution steps

\frac{d}{d t} (6 t^{5})

Take the constant out:

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

= 6 \frac{d}{d t} (t^{5})

Apply radical rule:

= 6 \frac{d}{d t} (t^{\frac{5}{2}})

Apply the Power Rule:

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

= 6 \cdot \frac{5}{2} t^{\frac{5}{2} - 1}

Simplify

6 \cdot \frac{5}{2} t^{\frac{5}{2} - 1} : 15 t^{\frac{3}{2}}

= 15 t^{\frac{3}{2}}

(1 + t) (8 t^{2} - 1)

x \to \infty lim (3 x^{4})

x \to 0 lim (\frac{e ^{x} - 1}{7 x})

\frac{\partial}{\partial x} (- 5 e^{- 5 y} sin (5 x))

x \to 2 lim (2 - x)

What is the derivative of 6sqrt(t^5) ?
The derivative of 6sqrt(t^5) is 15t^{3/2}
What is the first derivative of 6sqrt(t^5) ?
The first derivative of 6sqrt(t^5) is 15t^{3/2}