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Popular >

derivative of 8e^{2x}x+12e^{2x}

Solution

\frac{d}{d x} (8 e^{2 x} x + 12 e^{2 x})

Solution

16 e^{2 x} x + 32 e^{2 x}

Solution steps

\frac{d}{d x} (8 e^{2 x} x + 12 e^{2 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (8 e^{2 x} x) + \frac{d}{d x} (12 e^{2 x})

\frac{d}{d x} (8 e^{2 x} x) = 8 (2 e^{2 x} x + e^{2 x})

\frac{d}{d x} (12 e^{2 x}) = 24 e^{2 x}

= 8 (2 e^{2 x} x + e^{2 x}) + 24 e^{2 x}

Simplify

8 (2 e^{2 x} x + e^{2 x}) + 24 e^{2 x} : 16 e^{2 x} x + 32 e^{2 x}

= 16 e^{2 x} x + 32 e^{2 x}

Popular Examples

area 6-x^2,8-3x area

6 - x^{2}, 8 - 3 x

tangent of f(x)=(e^2)/(x^2-2x),\at x=-2 tangent of

f (x) = \frac{e ^{2}}{x ^{2} - 2 x}, at x = - 2

integral from-1 to 1 of 2e^x

\int_{- 1}^{1} 2 e^{x} d x

tangent of f(x)= 2/(x-3),\at x=5 tangent of

f (x) = \frac{2}{x - 3}, at x = 5

limit as x approaches infinity of ((e^x))/(2x^2)

x \to \infty lim (\frac{( e ^{x} )}{2 x ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of 8e^{2x}x+12e^{2x} ?
The derivative of 8e^{2x}x+12e^{2x} is 16e^{2x}x+32e^{2x}
What is the first derivative of 8e^{2x}x+12e^{2x} ?
The first derivative of 8e^{2x}x+12e^{2x} is 16e^{2x}x+32e^{2x}