If x² + y² = 25, then y″ at (3, 4) is: A. −25/64 B. 25/64 C. −4/3 D. 4/3 Answer: A) −25/64 Explanation: 2x + 2y y′ = 0 → y′ = −x/y. At (3,4): y′ = −3/4. y″ = −(y − x y′)/y² = −(4 − 3(−3/4))/16 = −(4 + 9/4)/16 = −(25/4)/16 = −25/64.

imo class 12 continuity and differentiability

If x² + y² = 25, then y″ at (3, 4) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If x² + y² = 25, then y″ at (3, 4) is:

Answer: A) −25/64

Explanation: 2x + 2y y′ = 0 → y′ = −x/y. At (3,4): y′ = −3/4. y″ = −(y − x y′)/y² = −(4 − 3(−3/4))/16 = −(4 + 9/4)/16 = −(25/4)/16 = −25/64.