If f is A Differentiable Function At A Point ‘a’ And f’(a) ≠ 0 Then Which Of The Following Is True.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

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