Question

Determine the derivatives of i) f(x) = Sinx following functions by 1st principle

Answer 1

i dont believe you can without handwaving involved

Answer 2

sin(x+h) - sin(x)

sin(x)cos(h)+sin(h)cos(x) - sin(x)

sin(h)cos(x) + sin(x)(cos(h)-1)
--------- ------------
h h

Answer 3

then you have to believe that sin(h)/h goes to 1

Answer 4

and that (cos(h)-1)/h goes to zero

Answer 5

thanks, thats more or less it

Answer 6

:) yep