| Find | dy |
| dx |
| 1. y = 5x2 - x | 2. y = x2 - 7x | |
| 3. y = 8x2 + x-1 | 4. y = | 3x |
| 1+csc x | ||
| 5. x cos(3-x2) | ||
6. Find the equation
of the tangent line and normal to
the curve for y = 4x(x2 -6)
at x = 2.
| Find | dy | and | d2y |
| dx | dx2 |
| 7. 3xy + y2 = 9 | 8. y = 4 tan x |
9. If a ball is
thrown vertically upward with a velocity of
23 ft/sec, its height after t seconds is given by the
equation s = 32t - 16t2. At what instant
will the ball be
at its highest point and how high will it rise?
10. Find the linearization
L(x) of f(x) at x = a.
f(x) = 8x2 + 5x - 9 at x = -2
