JEE Main 2016 (20)

Calculus Level 5

For a twice diffrentiable function \(f(x),g(x)\) is defined as \(g(x)=(f'(x))^{2}+f(x)f''(x)\). For constants \(a<b<c<d<e\), we have \[(f(a)=0,f(b)=2,f(c)=-1,f(d)=2,f(e)=0.\]

Find the minimum number of roots of the equation \(g(x)=0\) in \( (a,e) \).

×

Problem Loading...

Note Loading...

Set Loading...