Mathematics helper & learner

Never isolate ur brain here is a mathematical study..

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Differentiate the following with regards to X:

a)Y= sqrt (4x-^2)
b)Y=Y cos 5X
c)Y=In (sin e^3X)

I will differentiate the (a) for example :

a)Y=√(4x-x2)
Let u =4x-x2 du/dx=4-2x
dx/du=dy/du×du/dx
Y'=1/2√u×4-2x
Y'=4-2x/√u
Y'=2-x/√u
Replace U
2-X/√4X-X2..done..

Can u differentiate (b) n (c)
And these two are very simple ..

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Simplify :

(11/3-11/2)+(31/2-2 2/3)
(11/3-11/2)+(7/2-8/3)

Find L.C.M

(22-33/6)+21-16/6)
(-11/6)+(21-16/6)
(-11/6)+(37/6)

Find L.C.M

-11+37/6
=26/6=4,333..done...

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