What is the derivative of (150)/(r^2) ?

The derivative of (150)/(r^2) is -(300)/(r^3)

What is the first derivative of (150)/(r^2) ?

The first derivative of (150)/(r^2) is -(300)/(r^3)

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derivative of

\frac{150}{r ^{2}}

- \frac{300}{r ^{3}}

Solution steps

\frac{d}{d r} (\frac{150}{r ^{2}})

Take the constant out:

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

= 150 \frac{d}{d r} (\frac{1}{r ^{2}})

Apply exponent rule:

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

= 150 \frac{d}{d r} (r^{- 2})

Apply the Power Rule:

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

= 150 (- 2 r^{- 2 - 1})

Simplify

150 (- 2 r^{- 2 - 1}) : - \frac{300}{r ^{3}}

= - \frac{300}{r ^{3}}

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

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

lo g_{10} (x) x + 1

e^{- 3 x} sin (5 x)

7 x^{3} - 2 x^{2} + 3 x - 5

What is the derivative of (150)/(r^2) ?
The derivative of (150)/(r^2) is -(300)/(r^3)
What is the first derivative of (150)/(r^2) ?
The first derivative of (150)/(r^2) is -(300)/(r^3)