MHT CET20244 May 2024Evening ShiftMathematicsDifferentiationActual
If y= A n x+ B n x , then d ^2 y ~d x^2 =
Options
- A- n ^2 y
- Bn ^2 y
- Cn ^2 x
- Dn ^2 x^2
Correct answer
A. - n ^2 y
Step-by-step solution
y=A n x+B n x ...(i) Differentiating w.r.to x , we get aligned & d y d x =-A n( n x)+B n n x & d y d x =-n A n x+n B n x aligned Again differentiating w.r.to x , we get aligned d ^2 y ~d x^2 & =- n ^2 A n x-n^2 B n x & =-n^2[A n x+B n x] d ^2 y d x^2 & =-n^2 y aligned ...[from (i)]