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Question

If u=sin1[(x2+y2)15] then xux=

A
25cotu
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B
52cotu
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C
25tanu
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D
52tanu
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Solution

The correct option is B 25tanu

u=sin1[(x2+y2)15]

sinu=(x2+y2)15 ..... (i)

Differentiating (i) partially w.r.t x, we get

cosuux=152x(x2+y2)45..... (ii)

Differentiating (i) partially w.r.t y, we get

cosuuy=25y(x2+y2)45..... (iii)

From (ii) and (iii), we get

cosu(xux+yuy)=25sinu

xux+yuy=25tanu


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