In this q in the second derivative part wgen i m applying quotient rule and then putting x=h/root 2 the - Maths - Application of Derivatives

Question

In this q in the second derivative part wgen i m applying quotient
rule and then putting x=h/root 2 the vslue isnot coming -2 please
help dont it by product rule as it is given do by the same way i
have done by quotient rule

Neha Sethi · Accepted Answer

Dear student
We havedAdx=0⇒12h2-2x2h2-x2⇒x=h2Now,d2Adx2=12 h2-x2×ddxh2-2x2-h2-2x2ddxh2-x2h2-x22=12h2-x2×-4x-h2-2x2×-2x2h2-x2h2-x2=12h2-x2×-4x+xh2-2x2h2-x2h2-x2=12-4xh2-x2+xh2-2x2h2-x2h2-x2=12-4xh2+4x3+xh2-2x3h2-x232=12-3xh2+2x3h2-x232Put x=h2, we get =12-3h2h2+2h23h2-h2232=12-3h32+2h322h2232=12-6h3+2h322h323=12-4h322×22h3=-2
Now you can proceed with further
Regards

In this q in the second derivative part wgen i m applying quotient rule and then putting x=h/root 2 the vslue isnot coming -2 please help dont it by product rule as it is given do by the same way i have done by quotient rule