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Derivative of:
Derivative of e^(3*x)
Derivative of x*cos(x)
Derivative of e^x+1
Derivative of x*2
Integral of d{x}:
e^(3*x)
Graphing y =:
e^(3*x)
Limit of the function:
e^(3*x)
Identical expressions
e^(three *x)
e to the power of (3 multiply by x)
e to the power of (three multiply by x)
e(3*x)
e3*x
e^(3x)
e(3x)
e3x
e^3x
Similar expressions
2e^(-3x)+6e^(3x)
e^3*x^2
x*e^(3x)
6e^(3x)+3xe^(3x)+(-x^2+x+3)*e^(3x)
y=e^3x^2-6x

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

Derivative of e^(3*x)

The solution

You have entered [src]

 3*x
E

$$e^{3 x}$$

E^(3*x)

Detail solution

Let $u = 3 x$ .
The derivative of $e^{u}$ is itself.
Then, apply the chain rule. Multiply by $\frac{d}{d x} 3 x$ :
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $3$
The result of the chain rule is:

$3 e^{3 x}$

The answer is:

$3 e^{3 x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   3*x
3*e

$$3 e^{3 x}$$

Simplify

The second derivative [src]

   3*x
9*e

$$9 e^{3 x}$$

Simplify

The third derivative [src]

    3*x
27*e

$$27 e^{3 x}$$

Simplify

The graph

Derivative of e^(3*x)