What is the derivative of x^8sqrt(x) ?

The derivative of x^8sqrt(x) is (17x^{15/2})/2

What is the first derivative of x^8sqrt(x) ?

The first derivative of x^8sqrt(x) is (17x^{15/2})/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} (x^{8} x)

\frac{17 x ^{\frac{15}{2}}}{2}

Solution steps

\frac{d}{d x} (x^{8} x)

Simplify

x^{8} x : x^{\frac{17}{2}}

= \frac{d}{d x} (x^{\frac{17}{2}})

Apply the Power Rule:

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

= \frac{17}{2} x^{\frac{17}{2} - 1}

Simplify

\frac{17}{2} x^{\frac{17}{2} - 1} : \frac{17 x ^{\frac{15}{2}}}{2}

= \frac{17 x ^{\frac{15}{2}}}{2}

x \to 0 lim (ln (x))

\frac{5}{( s ^{3} - 10 \cdot s ^{2} )}

\int \frac{x ^{2} + 3 x + 1}{x ^{4} + 5 x ^{2} + 4} d x

\frac{d}{d x} ((3 x^{2} - 10)^{- 10})

\frac{\partial}{\partial x} (e^{x} x + 2 y e^{x})

What is the derivative of x^8sqrt(x) ?
The derivative of x^8sqrt(x) is (17x^{15/2})/2
What is the first derivative of x^8sqrt(x) ?
The first derivative of x^8sqrt(x) is (17x^{15/2})/2