Class 12 > Differentiation Test- 4 - Continuity & Differentiability

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Page 1 CBSE TEST PAPER-04 CLASS - XII MATHEMATICS (Calculus: Continuity and Differentiability) Topic: - Differentiation 1. Discuss the continuity of the function [4] -2, if x -1 ( ) 2x, if -1 < x 1 2, if x > 1 f x = ? ? = = ? ? ? 2. Find dy dx if sin( ) cos( ) ax b y cx d + = + [4] 3. Find dy dx if 3 1 2 3 tan 1 3 x x y x - ? ? - = ? ? - ? ? [4] 4. Find dy dx , if y= 1 ( cos ) ( sin ) x x x x x x + [4] 5. cos log tan 2 t x a t ? ? = + ? ? ? ? , sin y a t = find dy dx [4] 6. If ( 1) 1 y e x + = show that 2 2 2 d y dy dx dx ? ? = ? ? ? ? [4] 7. 2 2 a t t t y a and x t + ? ? = = + ? ? ? ? Find dy dx [4] 8. 1 1 sin 1 sin cot 1 sin 1 sin x x y x x - ? ? + + - = ? ? + - - ? ? [4] 9. If cos cos cos ........ y x x x = + + + Prove that (1 2 ) sin dy y x dx - = [4] 10. log tan 4 2 x y p ? ? = + ? ? ? ? Show that sec 0 dy x dx - = [4]Read More

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