Question

I need step by step please! " differentiate" y=secxtanx
I get to tanx(secxtanx) + sec^3x . the book states the answer is secx(sec^2x+tan^2x) . HELP :(

Answer 1

I get to tanx(secxtanx) + sec^3x

if you multiply tanx * tanx you get tan^2 x
so you have
secx tan^2 x + sec^3 x

factor out secx from each term
secx (tan^2 x + sec^2 x)

Answer 2

Wow, i knew that haha i feel dumb. Thank you so much !