If `2f(x)-3f(1/x)=x^2(x!=0),` then `f(2)` is equal to (a)`-7/4("b")""5/2` (c) -1 (d) none of these

If f(x) is a polynomial satisfying f(x)f((1)/(x))=f(x)+f((1)/(x)) and f(3)=28, then f(4) is equal to 63 (b) 65 (c) 17 (d) none of these

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to 0 (b) -1/(14) (c) -1/4 (d) None of these

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to (a)0 (b) 1/(14) (c) -1/4 (d) None of these

Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a+b+c)/3 (b) 1/2 (c) 1/8 (d) none of these

If 8f(x)+6f((1)/(x))=x+5 and y=x^(2)(f(x), then (dy)/(dx) at x=-1 is equal to 0( b) (1)/(14)(c)-(1)/(4)(d) None of these

if f(x)=3|x|+|x-2| then f'(1) is equal to a)2 b)1 c)3 d)0

If f(x) = |x-2| + |x+1| - x , then f'(-10) is equal to a)-3 b)-2 c)-1 d)0

If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) {f(1)}^n (c) 0 (d) none of these

If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) {f(1)}^n (c) 0 (d) none of these