What is the derivative of 1/3 pir^2h ?

The derivative of 1/3 pir^2h is (2pihr)/3

What is the first derivative of 1/3 pir^2h ?

The first derivative of 1/3 pir^2h is (2pihr)/3

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derivative of

\frac{1}{3} π r^{2} h

\frac{2 πh r}{3}

Solution steps

\frac{d}{d r} (\frac{1}{3} π r^{2} h)

Take the constant out:

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

= \frac{1}{3} πh \frac{d}{d r} (r^{2})

Apply the Power Rule:

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

= \frac{1}{3} πh \cdot 2 r^{2 - 1}

Simplify

\frac{1}{3} πh \cdot 2 r^{2 - 1} : \frac{2 πh r}{3}

= \frac{2 πh r}{3}

\int_{0}^{3} x^{2} + 9 d x

\frac{d}{d x} (\frac{1}{4 x ^{2}})

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

\int_{1}^{5} t^{3} ln (4 t) d t

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

What is the derivative of 1/3 pir^2h ?
The derivative of 1/3 pir^2h is (2pihr)/3
What is the first derivative of 1/3 pir^2h ?
The first derivative of 1/3 pir^2h is (2pihr)/3