Page 1 CBSE TEST PAPER-03 CLASS - XII MATHEMATICS (Calculus: Continuity and Differentiability) Topic: - Differentiations 1. Find the value of K so that function is continuous. [4] Kx+1 if x ( ) at x = cosx if x > f x p p p = ? ? = ? ? ? 2. Differentiate 2 2 cot y x = [4] 3. Find 2 sin cos dy if y xy dx p + = [4] 4. Find x y x b dy if y x x a dx + + = [4] 5. Find dy dx when x = a( -sin ), y = a(1+cos ) ? ? ? [4] 6. If 2 3 3 2 x x y e e = + Prove that 2 2 5 6 0 d y dy y dx dx - + = [4] 7. If 1 cos x a y e - = Show that 2 2 2 2 (1 ) 0 d y dy x x a y dx dx - - - = [4] 8. If ( ) 2 2 2 ( ) x a y b c - + - = Prove 3 2 2 2 2 1 dy dx d y dx ? ? ? ? + ? ? ? ? ? ? ? ? ? ? is a constant independent of a & b. [4] 9. Find , dy dx if 1 1 2 sin sin 1 y x x - - = + - [4] 10. (sin cos ) (sin cos ) x x y x x - = - Find , dy dx [4]Read More

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