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Derivative of:
Derivative of x/(e^x+1)
Derivative of (x^2-1)/((2*x))
Derivative of ((x-1)/(x+1))^4
Derivative of (x-1)/(2*x+3)
Factor polynomial:
e^x-x^2
Limit of the function:
e^x-x^2
Identical expressions
e^x-x^ two
e to the power of x minus x squared
e to the power of x minus x to the power of two
ex-x2
e^x-x²
e to the power of x-x to the power of 2
Similar expressions
e^x+x^2

The derivative of the function/ e^x-x^2

Derivative of e^x-x^2

The solution

You have entered [src]

 x    2
E  - x

$$e^{x} - x^{2}$$

E^x - x^2

Detail solution

Differentiate $e^{x} - x^{2}$ term by term:
1. The derivative of $e^{x}$ is itself.
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $- 2 x$
The result is: $- 2 x + e^{x}$

The answer is:

$- 2 x + e^{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x      
E  - 2*x

$$e^{x} - 2 x$$

Simplify

The second derivative [src]

      x
-2 + e

$$e^{x} - 2$$

Simplify

The third derivative [src]

x
E

$$e^{x}$$

Simplify

The graph

Derivative of e^x-x^2