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.

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

cot to the power of negative 1 end exponent left parenthesis cosec space straight x plus cot space straight x right parenthesis

92 Views

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

cos to the power of negative 1 end exponent left parenthesis sin space straight x right parenthesis

79 Views

443.

Find space dy over dx comma space when space straight y equals sin to the power of negative 1 end exponent straight x plus sin to the power of negative 1 end exponent square root of 1 minus straight x squared end root.

85 Views

444.

Differentiate space straight x to the power of straight x sin to the power of negative 1 end exponent square root of straight x space straight w. straight r. straight t. straight x.

77 Views

445.

If space straight y equals sin left parenthesis 2 space sin to the power of negative 1 end exponent straight x right parenthesis comma space show space that space dy over dx equals 2 square root of fraction numerator 1 minus straight y squared over denominator 1 minus straight x squared end fraction end root.

73 Views

446.

Find space dy over dx space of space the space following space cos to the power of negative 1 end exponent open parentheses fraction numerator 1 minus straight x squared over denominator 1 plus straight x squared end fraction close parentheses comma space 0 less than straight x less than 1 space straight w. straight r. straight t. straight x. space

93 Views

447.

Differentiate space tan to the power of negative 1 end exponent open parentheses fraction numerator square root of 1 plus straight x squared end root minus 1 over denominator straight x end fraction close parentheses comma 0 less than straight x less than 1 comma space straight w. straight r. straight t. straight x.

92 Views

Le space straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 1 plus straight x squared end fraction close parentheses Put space straight x equals tan space straight theta therefore space space space straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 1 plus tan squared straight theta end fraction close parentheses equals sin to the power of negative 1 end exponent left parenthesis sin space 2 straight theta right parenthesis equals 2 straight theta space space space rightwards double arrow space 2 tan to the power of negative 1 end exponent straight x therefore space dy over dx equals fraction numerator 2 over denominator 1 plus straight x squared end fraction.

84 Views

449.

Find space fraction numerator dy over denominator dx space end fraction space in space the space following space space tan to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 1 minus straight x squared end fraction close parentheses

91 Views

450.

Find space dy over dx space in space the space following space colon space tan to the power of negative 1 end exponent open parentheses fraction numerator 3 straight x minus straight x cubed over denominator 1 minus 3 straight x squared end fraction close parentheses comma space minus fraction numerator 1 over denominator square root of 3 end fraction less than straight x less than fraction numerator 1 over denominator square root of 3 end fraction

87 Views