Question

Write the equation for the differential, written dy, for y = sec (5x).Simplify, where possible.

Answer 1

dy=(dy/dx)dx

Answer 2

what do you get for y'?

Answer 3

@amistre64 I got y= 5(sec(5x))(tan(5x))

Answer 4

y' = 5 sec(5x) tan(5x) seems appropriate to me

therefore:

dy/dx = 5 sec(5x) tan(5x)

dy = 5 sec(5x) tan(5x) dx

and since y = sec(5x) we might have it out as

dy = 5y tan(5x) ... but im not too sure if thats a simplification or not :)

Answer 5

forgot a dx on the end :)