Mister Exam

# Derivative of 3e^(3x)

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

from to

### 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 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
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