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Popular >

derivative of (90/x)

Solution

\frac{d}{d x} (\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

limit as x approaches infinity of x^2+1

x \to \infty lim (x^{2} + 1)

derivative of 1/3 pix^2y

\frac{d}{d x} (\frac{1}{3} π x^{2} y)

integral of tan^4(7x)

\int tan^{4} (7 x) d x

(\partial)/(\partial x)(cos(x)sin(x)-xy)

\frac{\partial}{\partial x} (cos (x) sin (x) - x y)

(\partial)/(\partial x)(4)

\frac{\partial}{\partial x} (4)

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)