If `f(x)=a|sinx|+be^|x|+c|x|^3` and if `f(x)` is differentiable at `x=0` then

If f(x)=a|sinx|+b\ e^(|x|)+c\ |x|^3 and if f(x) is differentiable at x=0 , then a=b=c=0 (b) a=0,\ \ b=0;\ \ c in R (c) b=c=0,\ \ a in R (d) c=0,\ \ a=0,\ \ b in R

If f(x) = a |sinx| + b.e^(|x|) + c |x|^3 and f(x) is differentiable at x = 0, then what are the values of a,b, c.?

If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0 then for xgt 0 , f(x) may be

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then a. f(x) is differentiable at x = 0 and x = 1 b. f(x) is differentiable at x = 0 but not at x = 1 c. f(x) is not differentiable at x = 1 but not at x = 0 d. f(x) is not differentiable at x = 0 and x = 1

For x in R ,f(x)=|log2-sinx| and g(x)=f(f(x)) , then (1) g is not differentiable at x=0 (2) g'(0)=cos(log2) (3) g'(0)=-cos(log2) (4) g is differentiable at x=0 and g'(0)=-sin(log2)

If f(x) = x^(3) sgn (x), then A. f is differentiable at x = 0 B. f is continuous but not differentiable at x = 0 C. f'(0^(-)) = 1 D. None of these

If f(x) = x^(3) sgn (x), then A. f is differentiable at x = 0 B. f is continuous but not differentiable at x = 0 C. f'(0^(-)) = 1 D. None of these

If f(x) be such that f(x) = max (|3 - x|, 3 - x^(3)) , then (a) f(x) is continuous AA x in R (b) f(x) is differentiable AA x in R (c) f(x) is non-differentiable at three points only (d) f(x) is non-differentiable at four points only