1. Calculus Section 3.7 Find higher ordered derivatives.
Higher order derivative notation
1st derivative: y’ f’(x) dy/dx Dxy
2nd derivative: y’’ f’’(x) d2y/dx Dx2y
3rd derivative: y’’’ f’’’(x) d3y/dx Dx3y
4th derivative: y(4) f(4)(x) d4y/dx Dx4y
Find d4y/dx4 y = 2x6 + 3x5 – 7x4 + x3 – 5x2 + 7x - 9
Find y’’ if y = 10x5/2

2. Find the indicated derivative.
Find f’’ if f(x) = x+4 x-3
Find f’’(x) if f(x) = (3x+7)4

3. Instantaneous acceleration is the rate of change of velocity
Instantaneous acceleration is the rate of change of velocity. If s(t) is the distance function, then s’’(t) is the acceleration function.
The height of a ball is given by 400 – 16t2. Find the acceleration after 2 seconds.

4. example
The distance a mouse is from its starting point is given by the function s(t) = t3 – 2t2 + 6t where s is the distance in feet and t is the time in seconds. a. Find the distance at 3 seconds. b. Find the velocity at 3 seconds. c. Find the acceleration at 3 seconds.

5. assignment
Page 157 Problems 2 – 40 even