Rate of Change

**lisa1984wilson** · May 25th 2009, 06:55 AM

Got stuck on this one: Thanks!

Let f(x)=x(1-2x)
a. Find the average rate of change of f(x) with respect to x as x changes from x=0 to x=1/2
b.Find the instantaneous rate of change of f(x) at x =0

**skeeter** · May 25th 2009, 07:16 AM

Originally Posted by lisa1984wilson

Got stuck on this one: Thanks!

Let f(x)=x(1-2x)
a. Find the average rate of change of f(x) with respect to x as x changes from x=0 to x=1/2
b.Find the instantaneous rate of change of f(x) at x =0

a. $\frac{f\left(\frac{1}{2}\right) - f(0)}{\frac{1}{2} - 0}$

b. $\lim_{x \to 0} \frac{f(x) - f(0)}{x - 0}$

where, exactly, are you "stuck" ?

**lisa1984wilson** · May 25th 2009, 07:22 AM

I can get the first part but I'm not very good with the lim part don't know how to calculate it without a calculator!

**Spec** · May 25th 2009, 07:34 AM

Show us what you've done so far. The limit is very easy to figure out, so you should under no circumstances be using a calculator for it.

**lisa1984wilson** · May 25th 2009, 07:51 AM

lim=f(x)-f(0)/x-0
lim= √x-0/x-0
lim= √x-0/ (√x-0)( √x+0
lim=0/ √+1
lim=0/1=0

**Spec** · May 25th 2009, 08:03 AM

$f(x)=x(1-2x)$ , so why are you using $f(x)=\sqrt{x}$ ?

Thread: Rate of Change

LinkBack

Thread Tools

Display

Rate of Change

Similar Math Help Forum Discussions

Relationship rate of change of diagonal and rate of change of area of rectangle

rate change

rate of change

rate of change

Rate of change

Search Tags