What is the derivative of e^{(4x/3}) ?

The derivative of e^{(4x/3}) is e^{(4x)/3} 4/3

What is the first derivative of e^{(4x/3}) ?

The first derivative of e^{(4x/3}) is e^{(4x)/3} 4/3

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

e^{\frac{4 x}{3}} \frac{4}{3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{4 x}{3}) = \frac{4}{3}

= e^{\frac{4 x}{3}} \frac{4}{3}

(x^{- 2} + x^{- 3}) \cdot (x^{5} - 2 x^{2})

\frac{d y}{d t} = y (3 - y)

\frac{d}{d x} (\frac{2 x}{x + 1})

e^{2 t} cos (2 t)

\int \frac{x}{2} + 1 d x

What is the derivative of e^{(4x/3}) ?
The derivative of e^{(4x/3}) is e^{(4x)/3} 4/3
What is the first derivative of e^{(4x/3}) ?
The first derivative of e^{(4x/3}) is e^{(4x)/3} 4/3