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Popular >

derivative of 0.02e^xx^3

Solution

\frac{d}{d x} (0.02 e^{x} x^{3})

Solution

0.02 (e^{x} x^{3} + 3 x^{2} e^{x})

Solution steps

\frac{d}{d x} (0.02 e^{x} x^{3})

Take the constant out:

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

= 0.02 \frac{d}{d x} (e^{x} x^{3})

Apply the Product Rule:

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

f = e^{x}, g = x^{3}

= 0.02 (\frac{d}{d x} (e^{x}) x^{3} + \frac{d}{d x} (x^{3}) e^{x})

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

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

= 0.02 (e^{x} x^{3} + 3 x^{2} e^{x})

Popular Examples

derivative of x(x^2+4)derivative of

x (x^{2} + 4)

derivative of ((x^2-1))/(x^2+1)derivative of

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

derivative of f(x)=(e^x-e^x)/(e^x+e^x)derivative of

f (x) = \frac{e ^{x} - e ^{x}}{e ^{x} + e ^{x}}

limit as x approaches-2 of x^2-3x+4

x \to - 2 lim (x^{2} - 3 x + 4)

integral from-infinity to 0 of z/(z^4+4)

\int_{- \infty}^{0} \frac{z}{z ^{4} + 4} d z

Frequently Asked Questions (FAQ)

What is the derivative of 0.02e^xx^3 ?
The derivative of 0.02e^xx^3 is 0.02(e^xx^3+3x^2e^x)
What is the first derivative of 0.02e^xx^3 ?
The first derivative of 0.02e^xx^3 is 0.02(e^xx^3+3x^2e^x)