Find the derivative of [sec^2(x) + tan(x)]/[sec(x)]

[MarkSA]

Hello,

1) Find the derivative of [sec^2(x) + tan(x)]/[sec(x)]

I think I may have cheated on this one if I did it correctly... the answer on my review guide is very very long compared to mine.

Can I pull out a 1/cos(x) from the numerator? This then allows me to cancel the denominator... i'm left with:

d/dx([sec(x) + sin(x)]) which is just: tan(x)sec(x) + cos(x)

Is this correct?

 

[o_O]

Yep that's look good to me!