What is the derivative of pi/x ?

The derivative of pi/x is -pi/(x^2)

What is the first derivative of pi/x ?

The first derivative of pi/x is -pi/(x^2)

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\frac{d}{d x} (\frac{π}{x})

- \frac{π}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{π}{x})

Take the constant out:

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

= π \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= π \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= π (- 1 \cdot x^{- 1 - 1})

Simplify

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

= - \frac{π}{x ^{2}}

\frac{d}{d x} (- 3 x^{4} - \frac{1}{x} + x x)

x \to - \frac{π}{4} lim (- sec (2 x))

f (x) = (3 x^{2} + 4 x - 19)^{15}

y^{^{'}} + y cos (x) = 5 cos (x)

\int sin^{4} (y) cos^{4} (y) d y

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