Page 1 CBSE TEST PAPER-01 CLASS - XII MATHEMATICS (Calculus : Continuity & differentiability) Topic:- differentiation 1. Find the values of K so that the function f is continues at the indicated print. [4] cos , x 2 2 ( ) x = 2 3, if x = 2 K x if x f x at p p p p ? ? ? - ? ? = ? ? ? ? ? 2. Differentiate the function sin cos (sin ) x x x x + [4] 3. If 1 1 sin cos , t t x a y a - - = = show that dy y dx x - = [4] 4. If y = (tan -1 x) 2 show that (x 2 + 1) 2 y 2 + 2x (x 2 + 1)y 1 = 2 [4] 5. Verify Rolleâ€™s Theorem for the function y = x 2 +2 , [ -2 , 2] [4] 6. Differentiate 1 1 2 sin 1 4 x x + - ? ? ? ? + ? ? [4] 7. Differentiate sin 2 x w.r. to e cosx [4] 8. If 1 1 0 x y y x + + + = prove that ( ) 2 1 1 dy dx x = - + [4] 9. If cosy = x cos (a + y) prove that ( ) 2 cos sin a y dy dx a + = [4] 10. If x = a (cos t + t sin t) [4] y = a (sin t â€“ t cos t ) find 2 2 d y dxRead More

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