What is the derivative of sqrt(x^7) ?

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

What is the first derivative of sqrt(x^7) ?

The first derivative of sqrt(x^7) 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 >

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

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

Solution steps

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

Apply radical rule:

= \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}

\frac{\partial}{\partial x} (9 e^{y} (y^{2} - x^{2}))

\int t ln (t + 4) d t

\frac{d}{d x} (\frac{36 x}{x ^{2} + 36})

f (x) = (4 + 5 x)^{2}, (- 3, 121)

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