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Derivative of:
Derivative of tan(x/2)
Derivative of e^(7*x)
Derivative of (x^2)
Derivative of tan(x^3)
Graphing y =:
e^(7*x)
Identical expressions
e^(seven *x)
e to the power of (7 multiply by x)
e to the power of (seven multiply by x)
e(7*x)
e7*x
e^(7x)
e(7x)
e7x
e^7x
Similar expressions
e^((7x-1)/5)

The derivative of the function/ e^(7*x)

Derivative of e^(7*x)

The solution

You have entered [src]

 7*x
E

$$e^{7 x}$$

E^(7*x)

Detail solution

Let $u = 7 x$ .
The derivative of $e^{u}$ is itself.
Then, apply the chain rule. Multiply by $\frac{d}{d x} 7 x$ :
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: $7$
The result of the chain rule is:

$7 e^{7 x}$

The answer is:

$7 e^{7 x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   7*x
7*e

$$7 e^{7 x}$$

Simplify

The second derivative [src]

    7*x
49*e

$$49 e^{7 x}$$

Simplify

The third derivative [src]

     7*x
343*e

$$343 e^{7 x}$$

Simplify

The graph

Derivative of e^(7*x)