If `f (x) = |x| + |sin x|` for `x in ( - pi / 2 , pi/ 2)`, then its left hand derivative at `x = 0`

In a function f : [-2a, 2a] rarr R is an odd function such that f(x) = f(2a - x) for x in [a, 2a] and the left hand derivative at x = a is 0, then find the left hand derivative at x = -a,

If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f(2a - x) for x in [a, 2a] and the left-hand derivative at x = a is 0 , then find the left-hand derivative at x = -a .

If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f(2a - x) for x in [a, 2a] and the left-hand derivative at x = a is 0 , then find the left-hand derivative at x = -a .

If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f(2a - x) for x in [a, 2a] and the left-hand derivative at x = a is 0 , then find the left-hand derivative at x = -a .

If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f(2a - x) for x in [a, 2a] and the left-hand derivative at x = a is 0 , then find the left-hand derivative at x = -a .

If f :[ - 2a, 2a] to R is an odd function such that f (x) = f (2a -x) for x in [a, 2a]. If the left hand derivative of f (x) at x =a is zero, then show that the left hand derivative of f (x) at x =-a is also zero

If a function f:[-2a,2a]rarr R is an odd function such that,f(x)=f(2a-x) for x in[a,2a] and the left-hand derivative at x=a is 0, then find the left-hand derivative at x=-a.

For n in N, let f(x)=min{1-tan^(2)x,1-sin^(2)x,1-x^(n)},x in(-(pi)/(2),(pi)/(2))* The left hand derivative of fat x=(pi)/(4) is

f(x)={(x^(2)e^(1//x),x!=0),(0,x=0):} then left hand derivative at x=0 is: