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y=e^3x^2-6x

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y=e^3x^2-6x

What you mean?

Derivative of y=e^3x^2-6x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3  2      
e *x  - 6*x
$$x^{2} e^{3} - 6 x$$
d / 3  2      \
--\e *x  - 6*x/
dx             
$$\frac{d}{d x} \left(x^{2} e^{3} - 6 x\right)$$
Detail solution
  1. Differentiate term by term:

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
          3
-6 + 2*x*e 
$$2 x e^{3} - 6$$
The second derivative [src]
   3
2*e 
$$2 e^{3}$$
The third derivative [src]
0
$$0$$
The graph
Derivative of y=e^3x^2-6x