e^y=tanx
e^y dy/dx = sec^2 x
dy/dx = sec^2 x / e^y , but e^y = tanx
= sec^2 x / tanx
= 1/cos^2 x * cosx/sinx
= 1/(sinx cosx)
or
cscx secx , choice A
If e^y=tanx, 0<x<pi/2 what is dy/dx in terms of x?
A.secxcscx
B.sec^2x
C.secx
D.sin x sec x
2 answers
How did you get from sec^2 x / tanx to 1/cos^2 x * cosx/sinx