What is the derivative of pi/((3x^2)) ?

The derivative of pi/((3x^2)) is -(2pi)/(9x^3)

What is the first derivative of pi/((3x^2)) ?

The first derivative of pi/((3x^2)) is -(2pi)/(9x^3)

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\frac{d}{d x} (\frac{π}{( 3 x ) ^{2}})

- \frac{2 π}{9 x ^{3}}

Solution steps

\frac{d}{d x} (\frac{π}{( 3 x ) ^{2}})

Take the constant out:

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

= π \frac{d}{d x} (\frac{1}{( 3 x ) ^{2}})

Apply exponent rule:

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

= π \frac{d}{d x} ((3 x)^{- 2})

Apply the chain rule:

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

= - \frac{2}{( 3 x ) ^{3}} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= π (- \frac{2}{( 3 x ) ^{3}} \cdot 3)

Simplify

π (- \frac{2}{( 3 x ) ^{3}} \cdot 3) : - \frac{2 π}{9 x ^{3}}

= - \frac{2 π}{9 x ^{3}}

\frac{d y}{d x} = 5 + y - 5 x + 8

\int sin^{3} (18 x) cos^{6} (18 x) d x

\frac{d}{d x} (4 x^{2} + 6)

\frac{( 1 + v )}{( 1 - v )}

\int x^{9} + 9 d x

What is the derivative of pi/((3x^2)) ?
The derivative of pi/((3x^2)) is -(2pi)/(9x^3)
What is the first derivative of pi/((3x^2)) ?
The first derivative of pi/((3x^2)) is -(2pi)/(9x^3)