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Popular >

derivative of f(x)=(ln(4))/3 e^x

Solution

derivative of

f (x) = \frac{ln ( 4 )}{3} e^{x}

Solution

\frac{2 ln ( 2 ) e ^{x}}{3}

Solution steps

\frac{d}{d x} (\frac{ln ( 4 )}{3} e^{x})

Take the constant out:

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

= \frac{ln ( 4 )}{3} \frac{d}{d x} (e^{x})

Apply the common derivative:

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

= \frac{ln ( 4 )}{3} e^{x}

Simplify

\frac{ln ( 4 )}{3} e^{x} : \frac{2 ln ( 2 ) e ^{x}}{3}

= \frac{2 ln ( 2 ) e ^{x}}{3}

Popular Examples

derivative of y=(5x-2)/(sqrt(x))derivative of

y = \frac{5 x - 2}{x}

tangent of 8x^{-2}tangent of

8 x^{- 2}

integral of-sqrt(x)

\int - x d x

limit as x approaches 0 of arccot(1/x)

x \to 0 lim (arccot (\frac{1}{x}))

derivative of (-x^2+2x(3x+2)(x-1))

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

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(ln(4))/3 e^x ?
The derivative of f(x)=(ln(4))/3 e^x is (2ln(2)e^x)/3
What is the first derivative of f(x)=(ln(4))/3 e^x ?
The first derivative of f(x)=(ln(4))/3 e^x is (2ln(2)e^x)/3