What is the derivative of f(x)=x^{9/2} ?

The derivative of f(x)=x^{9/2} is (9x^{7/2})/2

What is the first derivative of f(x)=x^{9/2} ?

The first derivative of f(x)=x^{9/2} is (9x^{7/2})/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^{\frac{9}{2}}

\frac{9 x ^{\frac{7}{2}}}{2}

Solution steps

\frac{d}{d x} (x^{\frac{9}{2}})

Apply the Power Rule:

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

= \frac{9}{2} x^{\frac{9}{2} - 1}

Simplify

\frac{9}{2} x^{\frac{9}{2} - 1} : \frac{9 x ^{\frac{7}{2}}}{2}

= \frac{9 x ^{\frac{7}{2}}}{2}

3 y^{^{''}} - 4 y^{^{'}} - 15 y = 0

\frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

\frac{\partial}{\partial x} (arcsin (5 x yz))

\int e^{3 x} x d x

n = 0 \sum \infty \frac{1}{n + 2}

What is the derivative of f(x)=x^{9/2} ?
The derivative of f(x)=x^{9/2} is (9x^{7/2})/2
What is the first derivative of f(x)=x^{9/2} ?
The first derivative of f(x)=x^{9/2} is (9x^{7/2})/2