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

171.

Differentiate $straight e to the power of log open parentheses straight x plus square root of straight x squared plus straight a squared end root close parentheses end exponent$ w.r.t x.

89 Views

Long Answer Type

172.

Differentiate $fraction numerator square root of straight a plus straight x end root minus square root of straight a minus straight x end root over denominator square root of bold a bold plus bold x end root plus square root of bold a bold minus bold x end root end fraction$ w.r.t x.

80 Views

173.
Differentiate $square root of a italic plus square root of a italic plus square root of a italic plus x to the power of italic 2 end root end root end root$ w.r.t x

Let space straight y equals square root of straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root end root equals open square brackets straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root close square brackets to the power of begin inline style 1 half end style end exponent therefore space dy over dx equals 1 half open square brackets straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root close square brackets to the power of negative 1 half end exponent straight d over dx open square brackets straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root close square brackets equals fraction numerator 1 over denominator 2 square root of straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root end root end fraction cross times straight d over dx open parentheses straight a plus square root of straight a plus straight x squared end root close parentheses to the power of begin inline style 1 half end style end exponent equals fraction numerator 1 over denominator 2 square root of straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root end root end fraction cross times 1 half open parentheses straight a plus square root of straight a plus straight x squared end root close parentheses to the power of begin inline style negative 1 half end style end exponent. straight d over dx left parenthesis straight a plus straight x squared right parenthesis to the power of begin inline style 1 half end style end exponent equals fraction numerator 1 over denominator 2 square root of straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root end root end fraction cross times fraction numerator 1 over denominator 2 square root of straight a plus square root of straight a plus straight x squared end root end root end fraction cross times 1 half left parenthesis straight a plus straight x squared right parenthesis to the power of begin inline style negative 1 half end style end exponent straight d over dx left parenthesis straight a plus straight x squared right parenthesis equals fraction numerator 1 over denominator 2 square root of straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root end root end fraction cross times fraction numerator 1 over denominator 2 square root of straight a plus square root of straight a plus straight x squared end root end root end fraction cross times fraction numerator 1 over denominator 2 square root of straight a plus straight x squared end root end fraction cross times 2 straight x equals fraction numerator 1 over denominator 4 square root of straight a plus straight x squared end root square root of straight a plus square root of straight a plus straight x squared end root end root square root of straight a plus square root of straight a plus square root of straight a plus straight x squared end root end root end root end fraction

74 Views

Short Answer Type

174.

If space straight y equals square root of straight a plus square root of straight a plus straight x end root end root comma space find space dy over dx.

87 Views

175.

If space straight y equals square root of 4 plus square root of 4 plus square root of 4 plus straight x squared end root end root end root comma space find space dy over dx.

71 Views

176. Differentiate log [(x + 2)(x³ - x)] w.r.t.x

90 Views

177.

Differentiate $log open parentheses fraction numerator straight x squared plus straight x plus 1 over denominator straight x squared minus straight x plus 1 end fraction close parentheses$