Question

Find the second derivative for 5x^3+7x^2+6x

Answer 1

5x^3 + 7x^2 + 6x

To differentiate you take away one from the power and then multiply by it.

 

So if you differentiate y = x^n

you get:

dy/dx = (n-1)x^(n-1)

 

And the second derivative is simply the derivative of dy/dx :

So if you differentiate dy/dx you get:

d^2y/dx^2 = (n - 2)(n - 1)x^(n - 2)

 

So with this information you should be able to answer your question

(Hint: 6x differentiated is 6 , and 6 differentiated is 0 )

Answer 2

find all real or complex of g(x) = x to 4th pwer minus 3x to second power 2 minus 4