What is the derivative of y= 7/x ?

The derivative of y= 7/x is -7/(x^2)

What is the first derivative of y= 7/x ?

The first derivative of y= 7/x is -7/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = \frac{7}{x}

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

Solution steps

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

Take the constant out:

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

= 7 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 7 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 7 (- 1 \cdot x^{- 1 - 1})

Simplify

7 (- 1 \cdot x^{- 1 - 1}) : - \frac{7}{x ^{2}}

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

\int_{9}^{15} 2 cos (\frac{π x}{6}) d x

\frac{d t}{d t}

y = x^{2} - 43, y = 5 - 2 x

\frac{\partial}{\partial x} (1 + x^{4} + y^{3})

\int \frac{1}{x ^{4} + 16} d x

What is the derivative of y= 7/x ?
The derivative of y= 7/x is -7/(x^2)
What is the first derivative of y= 7/x ?
The first derivative of y= 7/x is -7/(x^2)