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

The derivative of f(x)=7x^{3/2} is (21x^{1/2})/2

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

The first derivative of f(x)=7x^{3/2} is (21x^{1/2})/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) = 7 x^{\frac{3}{2}}

\frac{21 x ^{\frac{1}{2}}}{2}

Solution steps

\frac{d}{d x} (7 x^{\frac{3}{2}})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 7 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

7 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : \frac{21 x ^{\frac{1}{2}}}{2}

= \frac{21 x ^{\frac{1}{2}}}{2}

\frac{\partial}{\partial x} (cos (7 x^{2} y - 3 x y^{3}))

\int \frac{e ^{(a + 1) x}}{a} d x

4 x, x^{2}, 3

cos (9 x)

y = \frac{x}{x + 3}

What is the derivative of f(x)=7x^{3/2} ?
The derivative of f(x)=7x^{3/2} is (21x^{1/2})/2
What is the first derivative of f(x)=7x^{3/2} ?
The first derivative of f(x)=7x^{3/2} is (21x^{1/2})/2