Mister Exam

Derivative of x^2*e

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2  
x *E
ex2e x^{2}
x^2*E
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: x2x^{2} goes to 2x2 x

    So, the result is: 2ex2 e x


The answer is:

2ex2 e x

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
2*E*x
2ex2 e x
The second derivative [src]
2*E
2e2 e
The third derivative [src]
0
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