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Popular >

derivative of (90)/x

Solution

derivative of

\frac{90}{x}

Solution

- \frac{90}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{90}{x})

Take the constant out:

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

= 90 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 90 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 90 (- 1 \cdot x^{- 1 - 1})

Simplify

90 (- 1 \cdot x^{- 1 - 1}) : - \frac{90}{x ^{2}}

= - \frac{90}{x ^{2}}

Popular Examples

integral from 0 to 2 of x/((1+x^2)^2)

\int_{0}^{2} \frac{x}{( 1 + x ^{2} ) ^{2}} d x

derivative of (5-6x^5)

\frac{d}{d x} ((5 - 6 x)^{5})

simplify 2x+3/x simplify

2 x + \frac{3}{x}

limit as x approaches infinity of xe^{-1}

x \to \infty lim (x e^{- 1})

(\partial)/(\partial x)(x/(sqrt(1+x^2)))

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

Frequently Asked Questions (FAQ)

What is the derivative of (90)/x ?
The derivative of (90)/x is -(90)/(x^2)
What is the first derivative of (90)/x ?
The first derivative of (90)/x is -(90)/(x^2)