Calculus
Do all the work in pencil on the pages supplied. Put only your name on this page. Make sure you r Ham:
appears on every page you hand in.
1. Find the equation of the line tangent to the curve f(x) 2 92-2-1; at the point where x = .1.
2. Compute f'(3) for f(x) = tan(§f-] – -1-
3. Determine the x value(s) where the derivative of f(x) = (7x -1)(2x + 3)?‘ has horizontal
tangents.
4. Compute the derivative of f (x) = x5 cos(5x + 2)
5. Compute the derivative of f (x) = 3x/Sin(7DC) – x5
6. Find the equation of the line perpendicular to the tangent line of the function
2 3
f (x) = (x – 3x +1) at the po1nt(1,-1)
3 3g 1
7. Compute the derivative of -x – -§- + 17.3
2 x + 7x +10
x2 + 4
8. Commute the derivative of f (x) = -2- at x = 0
x +1
9. Compute the derivative of f (x) = (cos(3x))