Let `f(x)=tan^-1 x.` Then, `f'(x)+f''(x)` is `= 0,` when `x` is equal to

Let f(x)=tan^-1 x. Then, f'(x)+f''(x) = 0, when x is equal to

Let f(x) = x|x| then f'(0) is equal to

Let f(x) = x|x| then f'(0) is equal to

Let f (x) = x |x|, then f (0) is equal to

If f'(x)=tan^(-1)x then f(x) is equal to ?

Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to

If f(x)=x tan^(-1)x, then f'(1) equals

Let f:R rarr [0, (pi)/(2)) be a function defined by f(x)=tan^(-1)(x^(2)+x+a) . If f is onto, then a is equal to

If f(x) = x tan^(-1)x , then f^(')(1) is equal to

Let f(x) have a point of inflection at x=1 and let f^(")(x)=x. If f^(')(1)=0, then f(x) is equal to