What is the derivative of pi/(x^{18}) ?

The derivative of pi/(x^{18}) is -(18pi)/(x^{19)}

What is the first derivative of pi/(x^{18}) ?

The first derivative of pi/(x^{18}) is -(18pi)/(x^{19)}

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\frac{d}{d x} (\frac{π}{x ^{18}})

- \frac{18 π}{x ^{19}}

Solution steps

\frac{d}{d x} (\frac{π}{x ^{18}})

Take the constant out:

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

= π \frac{d}{d x} (\frac{1}{x ^{18}})

Apply exponent rule:

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

= π \frac{d}{d x} (x^{- 18})

Apply the Power Rule:

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

= π (- 18 x^{- 18 - 1})

Simplify

π (- 18 x^{- 18 - 1}) : - \frac{18 π}{x ^{19}}

= - \frac{18 π}{x ^{19}}

f (x) = 2 x^{3} - 6 x, at x = - 3

\int \frac{( 2 x ^{2} - 5 x + 2 )}{x ^{3} + x} d x

\int \frac{1}{3 - x ^{2} + 4 x} d x

f (t) = cos (t) + t sin (t)

\frac{d}{d x} (\frac{1}{( x + k ) ^{3}})

What is the derivative of pi/(x^{18}) ?
The derivative of pi/(x^{18}) is -(18pi)/(x^{19)}
What is the first derivative of pi/(x^{18}) ?
The first derivative of pi/(x^{18}) is -(18pi)/(x^{19)}