What is the derivative of e^{f(x)} ?

The derivative of e^{f(x)} is e^{fx}x

What is the first derivative of e^{f(x)} ?

The first derivative of e^{f(x)} is e^{fx}x

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derivative of

e^{f (x)}

e^{f x} x

Solution steps

\frac{d}{df} (e^{f x})

Treat

x

as a constant

Apply the chain rule:

e^{f x} \frac{d}{df} (f x)

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

\frac{d}{df} (f x) = x

= e^{f x} x

2 x (1 - x)

\frac{d y}{d x} = \frac{8 x}{3 y}

x \to 0 lim (arcsin (x^{3}))

\int \frac{sin ( \frac{8}{x} )}{x ^{2}} d x

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

What is the derivative of e^{f(x)} ?
The derivative of e^{f(x)} is e^{fx}x
What is the first derivative of e^{f(x)} ?
The first derivative of e^{f(x)} is e^{fx}x