Rate of Change

Average rate of change

100

What is the average rate of change for between these x-points?

f(x)=x²+3x

x=1 and x=4

8

200

What is the average rate of change of the car’s position from t=1 hour to t=4 hours?

f(t)=2t²+3t

The average rate of change is 13 miles per hour.

300

What is the average rate of change between x=2 and x=6 

f(x)=60+5t-t²

-3

400

find the rate of change between x= -1 and x=2

f(x)=x³-3x

0

Derivative

100

Simplify the Equation- 

((x²+2xh+h²)-x²)/h

f(x) lim_x-->0=?

2x

200

Simplify this equation-

((3x²+6xh+3h²+2x+2h)-(3x²+2x))/h

f(x) lim_x-->0=?

6x+2

300

Find the derivative of f(x)=x²+4

f(x) lim_x-->0=?

2x

400

find the derivative- f(x)=2x³

f(x) lim_x-->0=?

6x²

Derivative

100

Simplify the equation-

lim_x-->0= (3x²h+3xh²+h³)/h

3x²

200

finish simplifying- ((2x²+4xh+2h²-5x-5h)-(2x²-5x))/h

f(x) lim_x-->0=?

4x-5

300

find the derivative-

f(x)=3x² +2

f(x) lim_x-->0=?

6x+2

400

find the dervitive 

f(x)=1/x

f(x)_h→0lim=?

-1/x²