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.

231.

If space straight y equals square root of straight x plus square root of straight x plus square root of straight x plus......... infinity end root end root end root comma show space that space left parenthesis 2 straight y minus 1 right parenthesis dy over dx equals 1

94 Views

232.

If space straight y equals square root of log space straight x plus square root of log space straight x plus square root of log space straight x plus........ infinity end root end root end root comma space prove space that space left parenthesis 2 straight y minus 1 right parenthesis dy over dx equals 1 over straight x

84 Views

233.

If space straight y square root of straight x squared plus 1 end root equals log open parentheses straight x plus square root of straight x squared plus 1 end root close parentheses comma space show space that space left parenthesis straight x squared plus 1 right parenthesis dy over dx plus xy minus 1 equals 0

77 Views

234.

If space straight e to the power of straight x plus straight e to the power of straight y equals straight e to the power of straight x plus straight y comma end exponent prove space that space dy over dx equals negative fraction numerator straight e to the power of straight x left parenthesis straight e to the power of straight y minus 1 right parenthesis over denominator straight e to the power of straight y left parenthesis straight e to the power of straight y minus 1 right parenthesis end fraction

73 Views

235.

If space straight y equals straight x plus fraction numerator 1 over denominator straight x plus begin display style fraction numerator 1 over denominator straight x plus... end fraction end style end fraction comma space prove space that space dy over dx equals fraction numerator straight y over denominator 2 straight y minus straight x end fraction.

85 Views

236.

If space straight x square root of 1 plus straight y end root plus straight y square root of 1 plus straight x end root equals 0 comma space show space that space dy over dx equals negative left parenthesis 1 plus straight x right parenthesis to the power of negative 2 end exponent

78 Views

237.

If space space ax squared plus 2 hxy plus by squared space equals space 1 comma space verify space that space dy over dx cross times dx over dy equals 1

74 Views

space space space space space Let space straight y equals straight x to the power of straight x therefore space log space straight y equals log space straight x to the power of straight x therefore space log space straight y equals straight x space log space straight x Differentiating space both space sides space straight w. straight r. straight t. space straight x comma space space space space space 1 over straight y dy over dx equals straight x. straight d over dx left parenthesis log space straight x right parenthesis plus log space straight x. straight d over dx left parenthesis straight x right parenthesis therefore space 1 over straight y dy over dx equals straight x.1 over straight x plus log space straight x.1 space space space space rightwards double arrow dy over dx equals straight y left square bracket 1 plus log space straight x right square bracket therefore fraction numerator dy over denominator space space space space space space dx end fraction equals straight x to the power of straight x left square bracket 1 plus log space straight x right square bracket.

89 Views

239.

Differentiate (a^x)^x w.r.t.x.

83 Views

240. Differentiate the following w.r.t.x:

open parentheses 1 over straight x close parentheses to the power of straight x

84 Views