Evaluate: [ f(x+h) - f(x) ] / h?

Question

f(x+h) is ONE term

thank you so much for helping!

Answer 1

if you mean limit as h--->0 of [ f(x+h) - f(x) ] / h., the answer

is f ' (x)

(using definition of derivative or L'Hospitals rule)

Answer 2

You need to give us what f(x) is if you want a specific answer. Otherwise, I can only tell you what that is in the general sense, namely it's the slope of a secant line between the points (x,f(x)) and (x+h,f(x+h)). If you take the limit as h goes to 0 you get the definition of the derivative, which measures the slope of the tangent line at a given point x. If you want more than that, you need to give us f(x).

Answer 3

The idea is that as h gets 'smaller and smaller,' you have a series of numbers that tends to a limit (the slope of the tangent line).

Answer 4

I think you are talking about derivatives ; this is just the stand red formation.

Answer 5

I think you have forgotten something

lim [f(x+h) - f(x)]/ h when h goes to 0 is f ' (x)

Answer 6

[ f(x+h) - f(x) ] / h? = f(x+h)/h - f(x)/h

But this is usually in regards to limits. Are you sure you gave us all of the necessary info?

Answer 7

the answer is F

Answer 8

f(x + h) / h - f(x) / h