from Mathematics Continuity and Differentiability

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

341. If cosy = x cos (a + y), then prove thatdy over dx equals fraction numerator cos squared left parenthesis straight a plus straight y right parenthesis over denominator sin space straight a end fraction
85 Views

342. If space straight x space straight y plus straight y squared equals tan space straight x plus straight y comma space find dy over dx
79 Views

343. Find space dy over dx space when space sin left parenthesis straight x space straight y right parenthesis plus straight x over straight y equals straight x squared minus straight y.
79 Views

344. FInd space dy over dx of space 2 straight x plus 3 straight y equals sin space straight x.
87 Views

Advertisement
345. FInd space dy over dx space of space 2 straight x plus 3 straight y equals sin space straight y
77 Views

Advertisement

346. Find space dy over dx space of space straight a space straight x plus straight b space straight y squared equals cos space straight y space


Here space space straight a space straight x plus straight b space straight y squared equals cos space straight y
Didfferentiating space both space side space straight w. straight r. straight t. straight x comma space we space get comma
space straight d over dx left parenthesis straight a space straight x right parenthesis plus straight d over dx left parenthesis straight b space straight y squared right parenthesis equals straight d over dx left parenthesis cos space straight y right parenthesis
therefore space straight a plus 2 straight b space straight y dy over dx equals negative sin space straight y. dy over dx
therefore space left parenthesis 2 straight b space straight y plus sin space straight y right parenthesis dy over dx equals negative straight a
therefore dy over dx equals negative open parentheses fraction numerator straight a over denominator 2 straight b space straight y plus sin space straight y end fraction close parentheses
101 Views

Advertisement
347. Find space dy over dx space of space straight x space straight y plus straight y squared space equals tan space straight x plus straight y
93 Views

348. Find space dy over dx space of space sin squared space straight y plus cos space straight x space straight y equals straight pi
85 Views

Advertisement
349. Differentiate the following functions w.r.t.x: sin2x+cos2y=1
85 Views

350. Differentiate the following functions w.r.t.x: sin space straight y plus log space straight y equals straight x squared plus 18 straight x plus 3
91 Views

Advertisement