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3*e^(2*x)

Derivative of 3*e^(2*x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2*x
3*E   
$$3 e^{2 x}$$
3*E^(2*x)
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    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:

    So, the result is:


The answer is:

The graph
The first derivative [src]
   2*x
6*e   
$$6 e^{2 x}$$
The second derivative [src]
    2*x
12*e   
$$12 e^{2 x}$$
The third derivative [src]
    2*x
24*e   
$$24 e^{2 x}$$
The graph
Derivative of 3*e^(2*x)