Class XII Maths Limits and Differentiation 5

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Question 1

If y = (1+ log ), then y' (n) is given by:

• A
• B
• C
• D

Question 2

=

• A
• B
• C
• DNone of these

Question 3

The differential coefficient of tan^–1w.r.t. sin^–1 is -

• A1
• B3/2
• C1/4
• D–3/4

Question 4

If 3 sin(xy) + 4 cos (xy) = 5 then =

• Ay/x
• B–y/x
• C–x/y
• Dx/y

Question 5

A function f(x) is so defined that for all x, [f(x)]ⁿ = f(nx). If f'(x) denotes derivative of f(x) w.r.t. x, then f'(x) · f(nx) =

• Af(nx) · f'(nx)
• Bf(x) · f'(x)
• Cf(x) · f'(nx)
• D0

Question 6

If y = then equals

• A
• B
• C
• DNone of these

Question 7

Differentiation of log_ex w. r. t. log_1/5 x is

• Alog_e1/5
• B–log_e1/5
• Clog_1/5 e
• DNone

Question 8

If f is twice differentiable function such that f"(x)=-f(x) and f'(x)=g(x). Let h(x) = (f(x))² + (g(x))². Given that h(5) = 11, then h(10) is

• A22
• B11
• C16
• D0

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