Question

If  then the set of all points where the derivative exist is

Solution

Correct option is

[–1, ~ {0}

The domain of the given function is [–1, ∞)

     

                  

SIMILAR QUESTIONS

Q1

Let

         

The values of the coefficient a and b for which the function is continuous and has a derivative at x0, are

Q2

Given f’(2) = 6 and f’(1) = 4.  

       

Q3

Let R âŸ¶ R be such that f(1) = 3 and f’(1) = 6. Then

                     

Q4

The domain of the derivative of the function

           

Q5

If (0) = 0, f’(0) = 2 then the derivative of  at x = 0 is 

Q6

  

If f is differentiable for all x then 

Q7

Let f and g be differentiable function such that f’(x) = 2g(x) and g’(x) = –f(x), and let T(x) = (f (x))2 – (g(x))2. Then T’(x) is equal to

Q8

Let f be a twice differentiable function such that f’’(x) = –f(x) and f’(x) = g(x). If h’(x) = [f(x)]2 + [g(x)]2h(1) = 8 and 

h(0) = 2, then h(2) is equal to

Q9

If y2 = P(x) is a polynomial of degree 3, then    

              is equal to  

Q10

The value of y’’ (1) if x3 – 2x2y2 + 5x + y – 5 = 0 when y(1) = 1, is equal to