Question

Calculate the derivative indicated.

dy
1
where
y=51
+ 4x2
dx2
x=6
73

Answer 1

8 5/648

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