1.

Statement-1: If f and g are differentiable at x=c, then min (f,g) is differentiable at x=c. Statement-2: min (f,g) is differentiable at `x=c if f(c ) ne g(c )`A. 1B. 2C. 3D. 4

Answer» Correct Answer - D
Let f(x)=x nd g(x)=`x^(2)` then,
`min (f(x),g(x))={{:(,x,x lt 0),(,x^(2),0 le x lt 1):}`
Clearly, f(x) and g(X) are differentiable at x=0. But, min [f(x),g(x)] is not differentiable at x=0.
So, statement-1 is not true. However, statement-2 is true.


Discussion

No Comment Found