For the function ƒ(x) = x^3 - 8x + 3, calculate

**ilovemymath** · August 3rd 2010, 02:39 PM

$(f(a+h)-f(a))/h$ where a = 5 and h = 1

**pickslides** · August 3rd 2010, 02:48 PM

Originally Posted by ilovemymath

$(f(a+h)-f(a))/h$ where a = 5 and h = 1

Looks straight forward to me.

$\frac{((5+1)^2-8(5+1))+3-((5)^2-8(5)+3)}{1}$

**mfetch22** · August 3rd 2010, 02:57 PM

Originally Posted by ilovemymath

$(f(a+h)-f(a))/h$ where a = 5 and h = 1

Was this all the question asked? It seems to simple. Did the question by chance ask to calculate:

$\lim_{h \to 1} \frac{f(a+h)-f(a)}{h}$

with $a = 5$

??

Or did it indeed ask exactly as you had said, to simply calculate the value of the function?

(I know, this may seem like an unneccesary post, but I am just trying to make sure it wasn't the limit that they were asking you to calculate, since something of the form:

$\frac{f(a+h)-f(a)}{h}$

is used in problems with limits very, very, very often. And since this question is in the calculus thread area.)

**Archie Meade** · August 3rd 2010, 02:59 PM

with a cube instead of a square,
typo by "picks"

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