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Derivative of:
Derivative of sin(x)/cos(x)
Derivative of cos(x)^(3)
Derivative of e^(6*x)
Derivative of (4x-3)^2
Graphing y =:
e^(6*x)
Integral of d{x}:
e^(6*x)
Identical expressions
e^(six *x)
e to the power of (6 multiply by x)
e to the power of (six multiply by x)
e(6*x)
e6*x
e^(6x)
e(6x)
e6x
e^6x
Similar expressions
e^(6*x-2)

The derivative of the function/ e^(6*x)

Derivative of e^(6*x)

The solution

You have entered [src]

 6*x
E

e^{6 x}

E^(6*x)

Detail solution

Let $u = 6 x$ .
The derivative of $e^{u}$ is itself.
Then, apply the chain rule. Multiply by $\frac{d}{d x} 6 x$ :
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: $6$
The result of the chain rule is:

$6 e^{6 x}$

The answer is:

6 e^{6 x}

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   6*x
6*e

6 e^{6 x}

Simplify

The second derivative [src]

    6*x
36*e

36 e^{6 x}

Simplify

The third derivative [src]

     6*x
216*e

216 e^{6 x}

Simplify

The graph

Derivative of e^(6*x)