Question

help in differential calculus

Answer 1

if \[\frac{ f(x+h) - f (x) }{ h }\] is the way to get the derivative. why is it if \[f(x)=5\] the answer is 0

Answer 2

because f(x+h) = 5
no matter the domain, the output is always 5 right

Answer 3

yeah, the answer i got would be 1. since the 5s cancel out, but the back of the book says its 0

Answer 4

and the proof for constant functions, you don;t even need calculus...just use regular slope formula

if you have a straight line f(x) = 5
then slope = delta y / delta x
delta y = 0 so slope is always 0

Answer 5

oh right, silly me. thanks haha

Answer 6

yw