Suppose that f has continuous second derivatives, and with critical points at (4, 3), (-4, 3), (-2, -3), (4, -1). Use the information given below to apply the second derivative to each of the points given. 1. f(-2,-3) 2. fax (4, -1) = 4, fyy(4, -1) = 1, fay(4, -1) = 2 3. fax (-4,3) = 16, fyy(-4,3)=9, fay(-4,3)=9 4. fax (4,3)= -16, fyy(4,3)= -9, fay(4,3)=9 ? ? ? ? = 16, fyy(-2,-3) = 9, fay(-2,-3) = 15

The curve y = ax + bx +c passes through the point (1,8) and is tangent to the line y = 5x at the origin. Find a, b, and c. (Hint: You can find these numbers by doing a few things. You can plug (1,6) and the origin into y. You can find the derivative of y=f(x); what is the derivative of f(x) at the origin?

Use the rules for derivatives to find the derivative of each function defined as follows. For now, we'll be focusing on 24, 26, and 28, as pictured in the attachment.

Find the derivative ax 4e Vマy+2