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Popular >

derivative of pi{r}(x(x)^2h)

Solution

\frac{d}{d x} (π r (x) (x)^{2} h)

Solution

πh (\frac{d}{d x} (r (x)) x^{2} + 2 x r (x))

Solution steps

\frac{d}{d x} (π r (x) (x)^{2} h)

Take the constant out:

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

= πh \frac{d}{d x} (r (x) x^{2})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = r (x), g = x^{2}

= πh (\frac{d}{d x} (r (x)) x^{2} + \frac{d}{d x} (x^{2}) r (x))

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

= πh (\frac{d}{d x} (r (x)) x^{2} + 2 x r (x))

Popular Examples

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\frac{d}{d x} (20 - 20 \cdot 2^{- x})

derivative of Ae^{5x}

\frac{d}{d x} (A e^{5 x})

Frequently Asked Questions (FAQ)

What is the derivative of pi{r}(x(x)^2h) ?
The derivative of pi{r}(x(x)^2h) is pih(derivative of {r}(x)x^2+2x{r}(x))
What is the first derivative of pi{r}(x(x)^2h) ?
The first derivative of pi{r}(x(x)^2h) is pih(derivative of {r}(x)x^2+2x{r}(x))