l9eebrookapeepaw
l9eebrookapeepaw l9eebrookapeepaw
  • 05-10-2016
  • Mathematics
contestada

Derivative Of E^3x use a chain rule to find the derivative of f(x)=e^3x

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mrinconj
mrinconj mrinconj
  • 05-10-2016
you have to change the variable, u=3x and from this can derivate u and get du=3, so the derivate for e^u is u'*e^u so the answers is 3e^3x
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y0ma1 y0ma1
  • 07-03-2021

Answer:

[tex]3e^{3x}[/tex]

Step-by-step explanation: By the chain rule,

[tex]\frac{d}{dx} (e^{3x}) = \frac{d}{dx} (e^{3x}) * \frac{d}{dx} (3x).[/tex]

The derivative of e^(function) is just e^(function). The derivative of 3x is 3.

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