Grade 12Differential Calculus
diffrentiare the following function with respect to x.(x)sinx+(sinx)cosx
1 Answer
Shivansh Saumya
to start with, i am telling you that first you shud memorise the differential formulas as they will prove to be really helpful.
y = (x).sinx + (sinx).cosx
1st diff. (x).sinx
= (x).dsinx/dx + sinx.dx/dx
= (x).cosx + sinx
2nd diff. (sinx)cosx
= cosx.dsinx/dx + sinx.dcosx/dx
= cos2x – sin2x
= cos2x
add the two
= x.cosx + sinx + cos2x (ans.)
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