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Derivative of:
Derivative of log(2)
Derivative of 1/(x-1)
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Derivative of sin(lnx)
Identical expressions
y=-e^x- twenty ^ four
y equally minus e to the power of x minus 20 to the power of 4
y equally minus e to the power of x minus twenty to the power of four
y=-ex-204
y=-e^x-20⁴
Similar expressions
y=-e^x+20^4
y=+e^x-20^4

The derivative of the function/ y=-e^x-20^4

Derivative of y=-e^x-20^4

The solution

You have entered [src]

   x     4
- e  - 20

$$- e^{x} - 20^{4}$$

d /   x     4\
--\- e  - 20 /
dx

$$\frac{d}{d x} \left(- e^{x} - 20^{4}\right)$$

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Detail solution

Differentiate $- e^{x} - 20^{4}$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of $e^{x}$ is itself.
  So, the result is: $- e^{x}$
2. The derivative of the constant $- 20^{4}$ is zero.
The result is: $- e^{x}$

The answer is:

$- e^{x}$

The graph

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Plot the graph f'(x)

The first derivative [src]

  x
-e

$$- e^{x}$$

Simplify

The second derivative [src]

  x
-e

$$- e^{x}$$

Simplify

The third derivative [src]

  x
-e

$$- e^{x}$$

Simplify

The graph

Derivative of y=-e^x-20^4