Mister Exam

Derivative of 3e^(3x)

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

The graph:

from to

Enter:

The solution

You have entered [src]
   3*x
3*E   
$$3 e^{3 x}$$
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]
   3*x
9*e   
$$9 e^{3 x}$$
The second derivative [src]
    3*x
27*e   
$$27 e^{3 x}$$
The third derivative [src]
    3*x
81*e   
$$81 e^{3 x}$$
The graph
Derivative of 3e^(3x)
    To see a detailed solution - share to all your student friends
    To see a detailed solution,
    share to all your student friends: