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3^(2*x)
The derivative of the function/ 3^(2*x)

Derivative of 3^(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
$$3^{2 x}$$ 
3^(2*x)
Detail solution

  1. Let .

  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:

  4. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2*x       
2*3   *log(3)
$$2 \cdot 3^{2 x} \log{\left(3 \right)}$$
Simplify
The second derivative [src] 
   2*x    2   
4*3   *log (3)
$$4 \cdot 3^{2 x} \log{\left(3 \right)}^{2}$$
Simplify
The third derivative [src] 
   2*x    3   
8*3   *log (3)
$$8 \cdot 3^{2 x} \log{\left(3 \right)}^{3}$$
Simplify
The graph
Derivative of 3^(2*x)
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