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.

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

cube root of 2 straight x to the power of 4 plus straight x squared minus straight x end root

92 Views

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

fraction numerator 3 over denominator left parenthesis 2 straight x squared plus 5 right parenthesis squared end fraction

88 Views

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

square root of fraction numerator straight x squared minus 2 ax over denominator straight a squared minus 2 ab end fraction end root

88 Views

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

square root of fraction numerator 1 plus straight x over denominator 1 minus straight x end fraction end root

89 Views

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

square root of fraction numerator 1 minus straight x squared over denominator 1 plus straight x squared end fraction end root

87 Views

166.

Find f'(x) where f(x)= $square root of fraction numerator 1 minus straight x over denominator 2 plus straight x end fraction end root$

92 Views

167. Differentiate

square root of 3 straight x squared plus 2 straight x end root

w.r.t x.

93 Views

Let space straight y equals fraction numerator 1 over denominator straight x plus square root of 1 plus straight x squared end root end fraction equals fraction numerator 1 over denominator straight x plus square root of 1 plus straight x squared end root end fraction cross times fraction numerator straight x minus square root of 1 plus straight x squared end root over denominator straight x minus square root of 1 plus straight x squared end root end fraction equals fraction numerator straight x minus square root of 1 plus straight x squared end root over denominator straight x squared minus left parenthesis 1 plus straight x squared right parenthesis end fraction space space space space space space space space equals fraction numerator straight x plus square root of 1 plus straight x squared end root over denominator negative 1 end fraction equals negative straight x plus square root of 1 plus straight x squared end root therefore space dy over dx equals negative 1 plus fraction numerator 2 straight x over denominator 2 square root of 1 plus straight x squared end root end fraction equals negative 1 plus fraction numerator straight x over denominator square root of 1 plus straight x squared end root end fraction

83 Views

169.

If space straight y equals open parentheses straight x plus square root of straight x squared plus straight a squared end root close parentheses to the power of straight n comma space prove space that space dy over dn equals fraction numerator ny over denominator square root of straight x squared plus straight a squared end root end fraction.

75 Views

170. Differentiate ^{x(1 + log x)}w.r.t.x.

85 Views