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.

Continuity and Differentiability

Short Answer Type

351. Differentiate the following functions w.r.t.x:

sin left parenthesis straight x space straight y right parenthesis plus straight x over straight y equals straight x squared minus straight y

74 Views

352. Differentiate the following functions w.r.t.x:
$tan left parenthesis straight x plus straight y right parenthesis plus tan left parenthesis straight x minus straight y right parenthesis equals 1$

Here space space tan left parenthesis straight x plus straight y right parenthesis plus tan left parenthesis straight x minus straight y right parenthesis equals 1 Differentiating space straight w. straight r. straight t. straight x comma space sec squared left parenthesis straight x plus straight y right parenthesis open square brackets 1 plus dy over dx close square brackets plus sec squared left parenthesis straight x minus straight y right parenthesis open square brackets 1 minus dy over dx close square brackets equals 0 therefore space sec squared left parenthesis straight x plus straight y right parenthesis plus sec squared left parenthesis straight x plus straight y right parenthesis dy over dx plus sec squared left parenthesis straight x minus straight y right parenthesis minus sec squared left parenthesis straight x minus straight y right parenthesis dy over dx equals 0 therefore space left square bracket sec squared left parenthesis straight x plus straight y right parenthesis plus sec squared left parenthesis straight x plus straight y right parenthesis right square bracket dy over dx equals negative left square bracket sec squared left parenthesis straight x plus straight y right parenthesis minus sec squared left parenthesis straight x plus straight y right parenthesis right square bracket therefore space dy over dx equals negative open square brackets fraction numerator sec squared left parenthesis straight x plus straight y right parenthesis plus sec squared left parenthesis straight x plus straight y right parenthesis over denominator sec squared left parenthesis straight x plus straight y right parenthesis minus sec squared left parenthesis straight x plus straight y right parenthesis end fraction close square brackets

89 Views

353. Differentiate the following functions w.r.t.x:

log square root of straight x squared plus straight y squared end root equals tan to the power of negative 1 end exponent straight y over straight x

91 Views

354. Differentiate the following functions w.r.t.x:

straight x cubed plus straight y cubed equals sin left parenthesis straight x plus straight y right parenthesis

82 Views

355.

Find space dy over dx when space straight x equals straight a left parenthesis straight theta plus sinθ right parenthesis comma space straight y equals straight a left parenthesis 1 minus cosθ right parenthesis

83 Views

356.

Find space dy over dx space when space straight x equals straight a left parenthesis 1 minus cosθ right parenthesis comma space straight y equals straight a left parenthesis straight theta plus sinθ right parenthesis

91 Views

357.

Find space dy over dx when space straight x equals straight a space sinθ comma space straight y equals straight a open parentheses cosθ plus log space tan straight theta over 2 close parentheses

91 Views

358.

Find space dy over dx space when space straight x equals cos cubed straight theta comma space straight y equals straight b space sin cubed straight theta

87 Views

359.

If space space straight x equals straight a left parenthesis 1 minus cosθ right parenthesis comma space straight y equals straight a left parenthesis 1 plus sinθ right parenthesis comma space find dy over dx comma

82 Views

360.

Find space dy over dx when space straight x equals straight a left parenthesis straight theta plus sinθ right parenthesis comma space straight y equals straight a left parenthesis 1 plus cosθ right parenthesis.

84 Views