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Derivative of:
Derivative of sin(x/3)^(2)*cot(x/2)
Derivative of atan(sqrt(x))
Derivative of atan(2*x)
Derivative of asin(1/x)
Integral of d{x}:
2*e^(2*x)
Graphing y =:
2*e^(2*x)
Limit of the function:
2*e^(2*x)
Identical expressions
two *e^(two *x)
2 multiply by e to the power of (2 multiply by x)
two multiply by e to the power of (two multiply by x)
2*e(2*x)
2*e2*x
2e^(2x)
2e(2x)
2e2x
2e^2x
Similar expressions
2e^(2x)-4e^(x)
(1-x^2)*e^(2*x)
-1/2e^(2x)+c

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

Derivative of 2e^(2x)

The solution

You have entered [src]

   2*x
2*E

$$2 e^{2 x}$$

2*E^(2*x)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Let $u = 2 x$ .
2. The derivative of $e^{u}$ is itself.
3. Then, apply the chain rule. Multiply by $\frac{d}{d x} 2 x$ :
  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: $2$
  The result of the chain rule is:
  
  $2 e^{2 x}$
So, the result is: $4 e^{2 x}$

The answer is:

$4 e^{2 x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2*x
4*e

$$4 e^{2 x}$$

Simplify

The second derivative [src]

   2*x
8*e

$$8 e^{2 x}$$

Simplify

The third derivative [src]

    2*x
16*e

$$16 e^{2 x}$$

Simplify

The graph

Derivative of 2*e^(2*x)