Q16 of 285 Page 409

Find , when:
e^x log y = sin^—1 x + sin ^—1y

Let us differentiate the whole equation w.r.t x

Formula :

According to chain rule of differentiation

According to product rule of differentiation

Therefore ,

Find , when:

cot (xy) + xy = y

Find , when:

y tan x — y² cos x + 2x = 0

Find , when:

xy log (x + y) = 1

Find , when:

tan (x + y) + tan (x — y) = 1

Find , when:ex log y = sin—1 x + sin —1y