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.

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

211. Differentiate x² e^3x w.r.t. (log x)².

89 Views

212.

Differentiate space log space straight x space straight w. straight r. straight t space 1 over straight x

93 Views

213.

Differentiate space straight x squared space straight w. straight r. straight t space straight x cubed

84 Views

Let space space straight y equals log left parenthesis xe to the power of straight x right parenthesis comma space straight u equals xlog space straight x Now space straight y equals log space straight x plus log space straight e to the power of straight x therefore space space space straight y equals log space straight x plus straight x therefore space space space dy over dx equals 1 over straight x plus 1 therefore space space space dy over dx equals fraction numerator 1 plus straight x over denominator straight x end fraction Also space space space space straight u equals straight x space log space straight x space space space space space space space du over dx equals straight x 1 over straight x plus log space straight x.1 therefore space space space du over dx equals 1 plus log space straight x Now space dy over du equals fraction numerator begin display style dy over dx end style over denominator begin display style du over dx end style end fraction equals fraction numerator 1 plus straight x over denominator straight x end fraction cross times fraction numerator 1 over denominator left parenthesis 1 plus log space straight x right parenthesis end fraction therefore space space space space space dy over du equals fraction numerator 1 plus straight x over denominator straight x left parenthesis 1 plus log space straight x right parenthesis end fraction

92 Views

215.

Find space dy over dx space if space straight x to the power of 6 plus straight y to the power of 6 plus 6 straight x squared straight y squared equals 16.

90 Views

216. Find

dy over dx

in the following :
x² + x y + y² = 100

84 Views

217. Find

dy over dx

in the following :
x³ + x² y + x y² + y³ = 81

90 Views

218.

Find space dy over dx space where space straight x squared over straight a squared plus straight y squared over straight b squared equals 2003

89 Views

219.

Find space dy over dx space where space 4 straight x squared plus 5 xy plus 7 straight y squared minus 8 straight x plus 9 straight y plus 3 equals 0.

71 Views

220.

Find space dy over straight d space where space straight x squared plus straight y squared equals 30 straight x space straight y

81 Views