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e^3*x^2
The derivative of the function/ e^3*x^2

You entered:

e^3*x^2

What you mean?

e^3*x^2
 
e^((3*x)^2)
 
e^((3*x)^2)

Derivative of e^3*x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3  2
e *x
x2e3x^{2} e^{3} 
d / 3  2\
--\e *x /
dx
ddxx2e3\frac{d}{d x} x^{2} e^{3}
Transform
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: 2xe32 x e^{3}

The answer is:

2xe32 x e^{3}

The graph
02468-8-6-4-2-1010-25002500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     3
2*x*e
2xe32 x e^{3}
Simplify
The second derivative [src] 
   3
2*e
2e32 e^{3}
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of e^3*x^2
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