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dy, =?, 1. If y = 2" then, dx, 2*, (b), (log 2), (a) x(2*-1), (c) 2"(log 2), (d) none of these, dy, 2. If y = log10 x then, =?, dx, (a), (b) – (log 10), 1, (c)-, x(log 10), (d) none of these, dy, = ?, 3. If y = el/x then, dx, (a) 1 . Jl/x -1), (b)., (c) / log x, (d) none of these, 4. If y = x* then-, dx, (a) x* log x, (b) x*(1 + log x) (c) x(1 + log x) (d) none of these

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581/1409, 5. If y = xsin x then = ?, dx, (a) (sin x) · x(sin x-1), (c) x sin x sin x + x log x · cos x, (b) (sin x cos x) - xsin x-1), (d) none of these, 6. If y = xV* then !, dy, dx, =?, log x, (b), 2/x, )xv=2+log x], 2/x, (d) none of these, dy, 7. If y = exin JT, then, =?, dx, (a) exin /x . cos /x (b), esin cos x, 2/x, (d) none of these, 2/x, dy, 8. If y = (tan x)of* then, dx, x-1. sec²x, (b) –(tan x) cot * - cosec²x, (c) (tan x)cot X. cosecx(1- log tan x) (d) none of these, (a) cot x (tan x)cot *-, dy ?, 9. If y = (sin x)% * then-, dx, (a) (log x)·(sin x)log x –1)., (b) (sin x) log × x log x + log sin x, cos x, (c) (sin x)lg x (xlog x) cot x + log sin x ), (d) none of these, dy, 10. If y = sin (x*) then, dx, (a) x" cos (x*), (b) x* cos x"(1+ log x), (c) x* cos x* log x, (d) none of these

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dy, 13. If (x + y) = sin (x + y) then, =?, dx, 1-cos (x + y), cos"(x+ y), (a) -1, (b) 1, (d) none of these, dy, 14. If /x + Jy = a then -, dx, (1) -, 1, (d) none of these, 2 Jx, 15. If x = y* then, dx, (a) Y – x log y), (x – y log x), y(y – x log y), (b)., x(x – y log x), Y(y + x log y), (c), (d) none of these, x(x + y log x), dy, = ?, 16. If x"y" = (x + y)(P+9) then-, dx, (a), (b)., (c) *P~1, (d) none of these, 1, dy, =?, 17. If y = x² sin – then, dx, (a) x sin, 1, - CoS, 1, (b) - сos, sin !, 1, (c) -x sin -+ cos, (d) none of these

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13. If (x + y) = sin (x + y) then-, dy, =?, dx, (a) –1, (b) 1, 1- cos (x + y), (c), (d) none of these, cos (x + y), dy, 14. If V+ Jy = Ja then ., =?, dx, 1 yy, (a), (b), (d) none of these, 2 Jx, 15. If x = y" then, dy, dx, (6) y – x log y), (x - y log x), (b)., y(y – x log y), y(y + x log y), x(x-y log x), (c), x(x + y log x), (d) none of these, dy, 16. If x®yª = (x + y)(P+9) then, =?, dx, (b) L, (c) *P-1, (d) none of these, 17. If y = x² sin - then dy, =?, dx, 1, 1, (a) x sin, COS, (b) – cos - + 2x sin -, (c) -x sin, + cos, (d) none of these, d..