Calculate the derivative indicated.
dy
1
where
y=51
+ 4x2
dx2
x=6
73

8  5/648

Step-by-step explanation:

y = 5x ^ -3 + 4x^2

dy /dx = 5 * -3 x^ -4 + 4 * 2x ^ 1

           = -15 x ^ -4 + 8x

Now take the second derivative

dy^2/ dx^2 = -15  * -4 x^-5 +8

                   = 60 x^ -5 +8

                   = 60 /x^5   +8

Evaluate at x = 6

                   = 60 / 6^5  +8

                    60/7776 +8

                   5/648 + 8

                  8  5/648

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