Hello
What is dy/dx of :
i) y = 3sinx + 4 / 4sinx + 3
also if you don't mind:
ii) y = √x (secx - tanx)
please, thank you
What is dy/dx of :
i) y = 3sinx + 4 / 4sinx + 3
also if you don't mind:
ii) y = √x (secx - tanx)
please, thank you
-
Would really help if you use parentheses...
y = (3sinx + 4) / (4sinx+3)
Quttient rule:
y' = [(4sinx + 3)(3cosx) - (3sinx + 4)(4cosx)] / (4sinx+3)^2
y' = [(12sinxcosx + 9cosx - 12sinxcosx - 16cosx)] / (4sinx+3)^2
y' = [-7cosx] / (4sinx+3)^2
That should be simplified enough.
2) product rule:
(√x)(secxtanx - sec^2x) + (1/2√x)(secx - tanx)
Dont really see any immediate simplifications
y = (3sinx + 4) / (4sinx+3)
Quttient rule:
y' = [(4sinx + 3)(3cosx) - (3sinx + 4)(4cosx)] / (4sinx+3)^2
y' = [(12sinxcosx + 9cosx - 12sinxcosx - 16cosx)] / (4sinx+3)^2
y' = [-7cosx] / (4sinx+3)^2
That should be simplified enough.
2) product rule:
(√x)(secxtanx - sec^2x) + (1/2√x)(secx - tanx)
Dont really see any immediate simplifications