What is the derivative of f(x)=x^3sqrt(x) ?

The derivative of f(x)=x^3sqrt(x) is (7x^{5/2})/2

What is the first derivative of f(x)=x^3sqrt(x) ?

The first derivative of f(x)=x^3sqrt(x) is (7x^{5/2})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = x^{3} x

\frac{7 x ^{\frac{5}{2}}}{2}

Solution steps

\frac{d}{d x} (x^{3} x)

Simplify

x^{3} x : x^{\frac{7}{2}}

= \frac{d}{d x} (x^{\frac{7}{2}})

Apply the Power Rule:

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

= \frac{7}{2} x^{\frac{7}{2} - 1}

Simplify

\frac{7}{2} x^{\frac{7}{2} - 1} : \frac{7 x ^{\frac{5}{2}}}{2}

= \frac{7 x ^{\frac{5}{2}}}{2}

x \to - 3 + lim (x^{3} + 27)

\int_{0}^{8} e^{x} sin (x) d x

\frac{\partial}{\partial u} (u^{2} + v)

x \to 0 + lim (x^{x^{5}})

\frac{ln ( 6 x )}{6 x}

What is the derivative of f(x)=x^3sqrt(x) ?
The derivative of f(x)=x^3sqrt(x) is (7x^{5/2})/2
What is the first derivative of f(x)=x^3sqrt(x) ?
The first derivative of f(x)=x^3sqrt(x) is (7x^{5/2})/2