Let `f(x)=a^2+e^x, -oo3` where `a,b,c` are positive real numbers and is differentiable then

Let f(x)=a+b|x|+c|x|^(4), where a,b and c are real constants.Then,f(x) is differentiable at x=0, if a=0 (b) b=0( c) c=0(d) none of these

Let f(x)=a+b|x|+c|x|^(4), where a,b, and c are real constants.Then,f(x) is differentiable at x=0, if a=0( b) b=0 (c) c=0( d) none of these

If f: (0, oo) ->(0, oo) for which there is a positive real number a such that it satisfies differential equation f'(a/x)=x/(f(x)) , then

Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f(x) is differentiable at x=0, if a=0 (b) b=0 (c) c=0 (d) none of these

If f:(0,oo)rarr(0,oo) for which there is a positive real number a such that it satisfies differential equation f'((a)/(x))=(x)/(f(x)), then

Let f(x)=a+b|x|+c|x|^4 , where a ,\ b , and c are real constants. Then, f(x) is differentiable at x=0 , if a=0 (b) b=0 (c) c=0 (d) none of these

Let f(x) =ax^2+bx+c where a,b,c are real numbers. Suppose f(x)!=x for any real number x. Then the number of solutions for f(f(x))=x in real numbers x is

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if