Question

Y=x^6+5x^3+6x найти y"

Answer 1

y’=6х^5+15x^2+6

Y’’=30x^4+30х

Answer 2

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

y = x^6 + 5x^3 + 6x

First derivative: y' = 6x^5 + 15x^2 + 6

Second derivative: y" = (d/dx)(y') = (d/dx)(6x^5 + 15x^2 + 6)

Taking the derivative of each term separately, we get:

y" = 30x^4 + 30x

Therefore, the second derivative of y is:

y" = 30x^4 + 30x