Differential qoutient

1. Nov 4, 2005

Izekid

Simplify the differential qoutient like this (f(x+h)-f(x)) / h
and the qoute is f(x) = 5x^2

2. Nov 4, 2005

TD

Didn't you forget a limit for h going to zero? Put in the function then...

3. Nov 4, 2005

HallsofIvy

Staff Emeritus
You mean "difference quotient". You don't yet have a "differential" because, as TD said, you haven't taken the limit.

All we can say is "do what you are told!"

f(x)= 5x^2 so f(x+h)= 5(x+h)^2. Calculate that.
f(x+h)- f(x)= what you just did, minus 5x^2.

Last thing to do is divide by h.