What is the derivative of e^{pix} ?

The derivative of e^{pix} is e^{pix}pi

What is the first derivative of e^{pix} ?

The first derivative of e^{pix} is e^{pix}pi

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\frac{d}{d x} (e^{π x})

e^{π x} π

Solution steps

\frac{d}{d x} (e^{π x})

Apply the chain rule:

e^{π x} \frac{d}{d x} (π x)

= e^{π x} \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= e^{π x} π

\frac{d}{d x} (\frac{1 + 2 y ^{2}}{y sin ( x )})

\frac{d}{d x} (\frac{- \frac{5}{2}}{x ^{2}} + 5^{x})

d x + e^{(3 x)} d y = 0

\frac{d}{d x} (e^{c o s (\frac{1}{x})})

\int \frac{6400 x}{16 x ^{2} + 3200} d x

What is the derivative of e^{pix} ?
The derivative of e^{pix} is e^{pix}pi
What is the first derivative of e^{pix} ?
The first derivative of e^{pix} is e^{pix}pi