Answer:
The indicated derivative of the function would be 12
Explanation:
According to the given data we have the following function:
y=2x^3 + 2x^2 - 5x
To calculate third derivative of the function we would have to make the following calculations:
First find the first derivative of y=2x^3 + 2x^2 - 5x
So:
[tex]\frac{d}{dx}\mleft(2x^3+2x^2-5x\mright)=6x^2+4x-5[/tex]
Next, we would have to find the derivative of 6x^2 +4x -5
So:
[tex]\frac{d}{dx}\mleft(6x^2+4x-5\mright)=12x+4[/tex]
Finally we would have to find the derivative of 12x+4
[tex]\frac{d}{dx}\mleft(12x+4\mright)=12[/tex]
Therefore:
[tex]\frac{d^3}{dx^3}\mleft(2x^3+2x^2-5x\mright)=12[/tex]
