What is the derivative of e^{4/5 x} ?

The derivative of e^{4/5 x} is e^{(4x)/5} 4/5

What is the first derivative of e^{4/5 x} ?

The first derivative of e^{4/5 x} is e^{(4x)/5} 4/5

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derivative of

e^{\frac{4}{5} x}

e^{\frac{4 x}{5}} \frac{4}{5}

Solution steps

\frac{d}{d x} (e^{\frac{4}{5} x})

Simplify

e^{\frac{4}{5} x} : e^{\frac{4 x}{5}}

= \frac{d}{d x} (e^{\frac{4 x}{5}})

Apply the chain rule:

e^{\frac{4 x}{5}} \frac{d}{d x} (\frac{4 x}{5})

= e^{\frac{4 x}{5}} \frac{d}{d x} (\frac{4 x}{5})

\frac{d}{d x} (\frac{4 x}{5}) = \frac{4}{5}

= e^{\frac{4 x}{5}} \frac{4}{5}

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

\frac{d}{d x} (x^{2} - 32 x)

\frac{d}{d x} (\frac{e ^{4 x^{2 + 1}}}{8})

\frac{d}{d x} (f (x) (x)^{- 1})

(x \frac{d y}{d x} + y) (2 (x + x y)) = x y

What is the derivative of e^{4/5 x} ?
The derivative of e^{4/5 x} is e^{(4x)/5} 4/5
What is the first derivative of e^{4/5 x} ?
The first derivative of e^{4/5 x} is e^{(4x)/5} 4/5