Question

Let f (x) = xnn being non-negative integer. Then find the value of n for which the equality f’(a + b) = f ’(a) + f ’ (b) is valid for all, ab > 0

Solution

Correct option is

n = 0 and 2

Since f (x) = xnn being non-negative integer.

Then     f’ (x) = nxn – 1

         

Now the equality f’ (a + b) = f’ (a) + f’ (b) holds if, 

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SIMILAR QUESTIONS

Q1

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Q2

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Q3

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Q4

If f (x) = x + tan and g(x) is the inverse of f (x) then g’ (x) is equal to:

Q5

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Q6

        

Determine the value of ‘a’ if possible, so that the function is continuous

Q7

 for all real x and y. If f ’ (0) exists and equals to –1and f (0) = 1, find f ’(x).

Q8

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Q9

Let f  be an even function and f ’(0) exists, then find f’(0).

Q10