(\partial)/(\partial h)(1/3 pir^2h)

解答

\frac{\partial}{\partial h} (\frac{1}{3} π r^{2} h)

\frac{π r ^{2}}{3}

求解步骤

\frac{\partial}{\partial h} (\frac{1}{3} π r^{2} h)

将

r

视为常数

将常数提出:

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

= \frac{1}{3} π r^{2} \frac{\partial}{\partial h} (h)

使用常见微分定则:

\frac{\partial}{\partial h} (h) = 1

= \frac{1}{3} π r^{2} \cdot 1

化简

\frac{1}{3} π r^{2} \cdot 1 : \frac{π r ^{2}}{3}

= \frac{π r ^{2}}{3}

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

d er i v a t i v e f (t) = t^{2} + 4 t

\int \frac{1}{( 1 + y ) ^{2}} d y

\int_{- 1}^{1} 5^{x} d x

x \to 0 - lim (\frac{1}{x ^{2}})