To find the second derivative of the function, we need to differentiate it twice with respect to x.

Given the function y'' = 4x^3 - 6x^2 + 2x, we can differentiate it once to find the first derivative:

y' = d/dx (4x^3 - 6x^2 + 2x)
= 12x^2 - 12x + 2

Now, we can differentiate the first derivative again to find the second derivative:

y'' = d/dx (12x^2 - 12x + 2)
= 24x - 12

Therefore, the second derivative of the function y'' = 4x^3 - 6x^2 + 2x is y'' = 24x - 12.

Question

To find the second derivative of the function, we need to differentiate it twice with respect to x.

Given the function y'' = 4x^3 - 6x^2 + 2x, we can differentiate it once to find the first derivative:

y' = d/dx (4x^3 - 6x^2 + 2x)
   = 12x^2 - 12x + 2

Now, we can differentiate the first derivative again to find the second derivative:

y'' = d/dx (12x^2 - 12x + 2)
    = 24x - 12

Therefore, the second derivative of the function y'' = 4x^3 - 6x^2 + 2x is y'' = 24x - 12.

Knowee AI · Accepted Answer

To find the second derivative of the function, we need to differentiate it twice with respect to x.

Given the function y'' = 4x^3 - 6x^2 + 2x, we can differentiate it once to find the first derivative:

y' = d/dx (4x^3 - 6x^2 + 2x)
   = 12x^2 - 12x + 2

Now, we can differentiate the first derivative again to find the second derivative:

y'' = d/dx (12x^2 - 12x + 2)
    = 24x - 12

Therefore, the second derivative of the function y'' = 4x^3 - 6x^2 + 2x is y'' = 24x - 12.

Find the second derivative of the function*y''= x^4 -2(x^3 ) + x^2y' = 24x - 12y''= 12x^2 -12x + 2y''= 4x^3 - 6x^2 + 2x