Simplify the differential quotient for f(x) = 5x²

[Izekid]

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

Please Help I don't know how to do this!

 

[TD]

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

 

[HallsofIvy]

Simplify the differential qoutient like this (f(x+h)-f(x)) / h
and the qoute is f(x) = 5x^2
Please Help I don't know how to do this!

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.