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e^(5*x)

Derivative of e^(5*x)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 5*x
E   
$$e^{5 x}$$
E^(5*x)
Detail solution
  1. Let .

  2. The derivative of is itself.

  3. Then, apply the chain rule. Multiply by :

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
   5*x
5*e   
$$5 e^{5 x}$$
The second derivative [src]
    5*x
25*e   
$$25 e^{5 x}$$
The third derivative [src]
     5*x
125*e   
$$125 e^{5 x}$$
The graph
Derivative of e^(5*x)