Q79.Let y(x) = (1 + x)(1 + x2)(1 + x4)(1 + x8)(1 + x16) . Then y′ −y′′ at x = −1 is equal to (1) 976 (2) 464 (3) 496 (4) 944
What This Question Tests
This question involves differentiating a product of multiple terms using logarithmic differentiation, then finding the second derivative, and finally evaluating the difference of the first and second derivatives at a specific point.
Concepts Tested
Formulas Used
d/dx (uv) = u'v + uv'
d/dx (log f(x)) = f'(x)/f(x)
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1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
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8.2 Name the following compounds according to IUPAC system of nomenclature: (i) CH3CH(CH3)CH2CH2CHO (ii) CH3CH2COCH(C2H5)CH2CH2Cl (iii) CH3CH=CHCHO (iv) CH3COCH2COCH3 (v) CH3CH(CH3)CH2C(CH3)2COCH3 (vi) (CH3)3CCH2COOH (vii) OHCC6H4CHO-p
📋 Question Details
- Chapter
- Differentiation
- Topic
- Product rule of differentiation, Chain rule
- Year
- 2023
- Shift
- 25 Jan Shift 1
- Q Number
- Q79
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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