Q73.If y = ∑6k=1 k cos−1{ 53 cos kx −45 sin kx} then dxdy at x = 0 is
What This Question Tests
This question involves simplifying the inverse trigonometric expression using trigonometric identities, differentiating the resulting sum term by term using the chain rule, and evaluating the derivative at a specific point.
Concepts Tested
Formulas Used
cos⁻¹(cosθ) = θ
Rcos(A+B) form
d/dx (cos⁻¹(u)) = -u' / sqrt(1-u²)
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Differentiation
- Topic
- Derivatives of inverse trigonometric functions
- Year
- 2020
- Shift
- 02 Sep Shift 2
- Q Number
- Q73
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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