What is the derivative of (40)/(x^9) ?

The derivative of (40)/(x^9) is -(360)/(x^{10)}

What is the first derivative of (40)/(x^9) ?

The first derivative of (40)/(x^9) is -(360)/(x^{10)}

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derivative of

\frac{40}{x ^{9}}

- \frac{360}{x ^{10}}

Solution steps

\frac{d}{d x} (\frac{40}{x ^{9}})

Take the constant out:

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

= 40 \frac{d}{d x} (\frac{1}{x ^{9}})

Apply exponent rule:

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

= 40 \frac{d}{d x} (x^{- 9})

Apply the Power Rule:

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

= 40 (- 9 x^{- 9 - 1})

Simplify

40 (- 9 x^{- 9 - 1}) : - \frac{360}{x ^{10}}

= - \frac{360}{x ^{10}}

x \to - 1 lim (\frac{x ^{3}}{x ^{2} + 1})

\frac{\partial}{\partial x} (u e^{2 x})

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

- 3 y^{^{'}} + 9 x^{2} = 0

\frac{\partial}{\partial x} (6 y^{2} x)

What is the derivative of (40)/(x^9) ?
The derivative of (40)/(x^9) is -(360)/(x^{10)}
What is the first derivative of (40)/(x^9) ?
The first derivative of (40)/(x^9) is -(360)/(x^{10)}