en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (17/(sqrt(x)))

Solution

\frac{d}{d x} (\frac{17}{x})

Solution

- \frac{17}{2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{17}{x})

Take the constant out:

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

= 17 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 17 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

17 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{17}{2 x ^{\frac{3}{2}}}

= - \frac{17}{2 x ^{\frac{3}{2}}}

Popular Examples

integral of (sec^2(x))/(sec(x))

\int \frac{sec ^{2} ( x )}{sec ( x )} d x

derivative of e^{yx}

\frac{d}{d x} (e^{y x})

tangent of f(x)= 3/x ,(9, 1/3)tangent of

f (x) = \frac{3}{x}, (9, \frac{1}{3})

integral of (8x^3(2x^4+4)^4)

\int (8 x^{3} (2 x^{4} + 4)^{4}) d x

derivative of (x^2/(9+8x))

\frac{d}{d x} (\frac{x ^{2}}{9 + 8 x})

Frequently Asked Questions (FAQ)

What is the derivative of (17/(sqrt(x))) ?
The derivative of (17/(sqrt(x))) is -(17)/(2x^{3/2)}
What is the first derivative of (17/(sqrt(x))) ?
The first derivative of (17/(sqrt(x))) is -(17)/(2x^{3/2)}