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MULTIPLE CHOICE QUESTIONS, Differentiation, Q1. If f (1)=4, f (1)=2 , the value of derivative of log f (e')w.r.t. xatx=0is:, (a) 1, (b) 2, Q2. If y=sin, the value of, dx, + cos, 1+x, (a) 0, (b) 1, (d), 1+x, Q3. If y=2", then, is:, 24, (a) x(2-!), (c) 2 log2, (d) none of these, log2, dy, is:, Q4. If y=sin(x'), then, dx, (a) x* cos(x'), (b) x* cos(x" )[1+logx], (c) x* cos (x") log.x (d) none of these, dy is:, Q5. If e** =xy, then, dx, x(1-y), y(1-x), x-xy, (a), (b), (d) none of these, y(x-1), x(y-1), xy-y, dy is:, Q6. If V+y =Va , then, dx, (a), (b), (d) none of these, dy, is:, Q7. If x'- y" = 0, then, dx, y-xlogy, y(y-xlogy), y(y+xlogy), (a), (b), (c), (d) none of these, x-ylogx, x(x-ylog.x), x(x+y log.x)

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dy, Q8. If y=log(x++a* ), then, is:, dx, (a), (b), (d) none of these, x+, +a, x+, Q9. If y=tan", cosx+sinx, then, dx, cos x-sin x, (a) 1, (b) -1, (c) V2, (d) -V2, 1+x+x, Q10. If y=log, then, is:, dx, 2/1+ x², (a), (b), (c), (d) none of these, sec x-1, Q11. If y=,, , then, - is:, dx, sec x+1, (a) sec' x, (b), (c), Sec", (d) none of these, Q12. If y=tan, acosx-bsin.x, then, bcosx+a sin x, dx, (), (b), (c) 1, (d) -1, a, Q13. If y=tan", dy is., then, 1-Vax, dx, (a), 1+, (b), (d), 2Nx (1+:, (x+1)*►, (x+1)x►, dy, Q14. If y=cos", is:, then, dx, (b), 1+x, 2x, 1+x, (a), 1+x, (d) none of these