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" If "f(x)=|x|^(3)," show that "f''(x)" ...

" If "f(x)=|x|^(3)," show that "f''(x)" exists for all real "x" and find it."

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If f(x)=|x|^(3) , then show that f''(x) exists for all real x and find it.

If f(x)=|x|^(3) show that show that exists for all real x and find it.

if f (x) = x^3 , show that f''(x) exist for all real values of x and find it.

A function f:R->R satisfies the relation f((x+y)/3)=1/3|f(x)+f(y)+f(0)| for all x,y in R. If f'(0) exists, prove that f'(x) exists for all x, in R.

A function f:R->R satisfies the relation f((x+y)/3)=1/3|f(x)+f(y)+f(0)| for all x,y in R. If f'(0) exists, prove that f'(x) exists for all x, in R.

A function f:R->R satisfies the relation f((x+y)/3)=1/3|f(x)+f(y)+f(0)| for all x,y in R. If f'(0) exists, prove that f'(x) exists for all x, in R.

If f(x) satisfies the relation 2f(x)+(1-x)=x^(2) for all real x, then find f(x) .

If f is a real function such that f(x) > 0,f^(prime)(x) is continuous for all real x and a xf^(prime)(x)geq2sqrt(f(x))-2af(x),(a x!=2), show that sqrt(f(x))geq(sqrt(f(1)))/x ,xgeq1 .

If f is a real function such that f(x) > 0,f^(prime)(x) is continuous for all real x and a xf^(prime)(x)geq2sqrt(f(x))-2af(x),(a x!=2), show that sqrt(f(x))geq(sqrt(f(1)))/x ,xgeq1 .