Question

differentiate y=3sinx + 4tanx

Answer 1

piece by piece
the derivative of sine is ?

Answer 2

cosx right?

Answer 3

@satellite73

Answer 4

yes!
Do you know the derivative of tanx?
If not, you can write it as \(\Large\rm \frac{\sin x}{\cos x}\) and apply the quotient rule :)

Answer 5

\[\sec ^{2}\]

Answer 6

and from the sec2. how can i make it in simplest way?

Answer 7

That would be the simplest form for the derivative.

Answer 8

\[\sec ^{2} is \it equal \to 1+\tan ^{2} ?\]

Answer 9

\[\Large\rm y=3\sin x+4 \tan x\]\[\Large\rm y'=3\cos x+4\sec^2x\]You really can't make it simpler than this :d
Unless you really really want your answer in terms of sines and cosines.

Answer 10

owhhh.. so it's ok if i just left it like that? thanks. really appreciate ur help..

Answer 11

ya c: