Question

If f is a differentiable function at a point ‘a’ and f’(a 0 then which of the following is true.

Solution

Correct option is

                                   

                                       

                                       

                                   

SIMILAR QUESTIONS

Q1

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

Q2

If f(x, then f’(1) equals     

 

Q3

 

If f (x) = (1 + x)n, then the value of  

           

Q4

The solution set of f’(x) > g’(x) where f(x) = (1/2)52x + 1 and g(x) = 5x + 4x log 5 is  

Q5

Let f(x) = sin xg(x) = x2 and h(x) = log x.  

Q6

 up to nterms, then y’(0) is equal to

Q7

Let f and g be functions satisfying f(x) = ex g(x), f (x + y) = f (x) + f(y),g(0) = 0, g’(0) = 4 g and g’ are continuous at 0.  

Then

Q8

Let f : R  R is a function which is defined by (x) = max {xx3}. The set of all points on which (x) is not differentiable is

Q9

Which of the following functions is differentiable at x = 0?

Q10

 is equal to