Tuesday, April 8, 2008

MC Set #1

Limits, Differentiation, Applications of Derivatives:

#20: how do figure out the equation of the tangent line?
if g(x)=f^-1(x), then if f'(2)=3/4, would g'(-3)=-4/3?

#22: How do we use the Mean Value Theorem to find c? I know that c'=(f(b)-f(a))/(b-a), but how do you use that to find c?
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2 comments:

Cristina said...

For #20, f(X) is equal to y=.75x-4.5. So g(x) would equal x=.75y-4.5which is y=(4/3)(x+4.5). So it's reallt y=(4/3)(x+3)+1.5(4/3) and you can elaborate from there.

For 22, Find the shope f(x) from the points x=0,4. Then find f'(x) and see at what x it matches the slope you found.

April 9, 2008 at 1:21 AM
Carol Lee :] said...

I still don't really get #20. How did you come up with f(x)= (3/4)x - (9/2)?

April 15, 2008 at 9:09 PM

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