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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

y = 10 x sin (x), (\frac{π}{2}, 5 π)

y^{^{'}} - 5 y = x

\int sec^{4} (x t a) n^{3} x d x

\int sin (θ) cos (θ) d θ

\int + sin^{2} (4 x) cos^{2} (4 x) d x

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