Question

If y=secx+tanx.Then prove that dy/dx=ysecx

Answer 1

Answer: proved that dy/dx = y sec x

Step-by-step explanation:

y = sec x + tan x ----- eq 1

diff. both the side

=> dy/dx = sec x . tan x + sec² x

=> dy/dx = sec x ( tan x + sec x )

substiting the value of sec x + tan x = y in this eq.

=> dy/dx = y sec x

Answer 2

Ans.proved that dy/dx=y sec x
difference both the side
=dt/dx=sec x tan x sec square
dy/dz=sec x (tan x sec x )
subsituting the value sec x+tan x =y
in this equation
=dy/dx=y sec