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The derivative of the function/ -2e^x-6x^2

Derivative of -2e^x-6x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     x      2
- 2*E  - 6*x
$$- 2 e^{x} - 6 x^{2}$$ 
-2*exp(x) - 6*x^2
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. The derivative of is itself.

      So, the result is:

    2. 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:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
           x
-12*x - 2*e
$$- 12 x - 2 e^{x}$$
Simplify
The second derivative [src] 
   /     x\
-2*\6 + e /
$$- 2 \left(e^{x} + 6\right)$$
Simplify
The third derivative [src] 
    x
-2*e
$$- 2 e^{x}$$
Simplify
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