Check the differentiability of `f(x)=tan|x|-|x|` at `x=0`.

Consider the function f(x)={(1+x,xle2),(5-x,x>2):} Check the differentiability of f(x) at x=2.

f(x)={1;x<0 and 1+sin x;f or 0<=x<=(pi)/(2), then check the differentiability of the function f(x) at x=0.

For what value of lambda the function defined by f(x)={lambda(x^2+2),ifxlt=0 4x+6,ifx0 is continuous at x=0? Hence check the differentiability of f(x) at x=0.

For what value of lambda the function defined by f(x)={lambda(x^2+2),ifxlt=0, 4x+6,ifxgt=0 is continuous at x=0? Hence check the differentiability of f(x) at x=0.

Check the differentiability if f(x) = min. {1, x^(2), x^(3)} .

Check the differentiability if f(x) = min. {1, x^(2), x^(3)} .

Check the differentiability if f(x) = min. {1, x^(2), x^(3)} .

Check the differentiability of the following at x = 0 (a) cos(|x|) + |x|, (b) sin(|x|) - |x|.

Discuss the differentiability of f(x)=|(log)_(e)x|f or x>0

f(x)=|x| differentiability check at x=0