Question

Find the value of the function (f(x+h) - f(x))/ h , h is different than 0 , if f(x)=sqrt(x)


Idk How to go about starting this one, I am pretty sure If h is different than 0 then something has to be done about it, but still I dont know

Answer 1

can you find f(x+h) first ?

Answer 2

to get f(x+h), just replace, 'x' in f(x) by 'x+h'

Answer 3

yes when I replace x in f(x) its = f(x+h)

Answer 4

so, what you get function f(x+h) as ?

Answer 5

replace 'x' in sqrt(x) by 'x+h'

Answer 6

sqrt(x+h)

Answer 7

yes,
now lets take numerator,
f(x+h) -f(x) =... ?

Answer 8

maybe f(x+h-x) ?

Answer 9

no, we have
f(x) =sqrt(x)
f(x+h)=sqrt(x+h)
plug these in f(x+h)-f(x)

Answer 10

ok so f(x+h) - sqrt(x)

Answer 11

why didn't u plug in for f(x+h) ? :P

Answer 12

f(sqrt(x)+h) - sqrt(x) ??

Answer 13

sqrt(x) + f(h) - sqrt(x) ?

Answer 14

is this good?

Answer 15

got that ^ ?