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It is given that f'(a) exists,then lim(x...

It is given that f'(a) exists,then`
lim_(xrarra)(xf(a) - af(x))/(x - a) is :`

A

`f(a) - af'(a)`

B

`-f(a)`

C

`f(a)`

D

`f(a) + af`(a)`

Text Solution

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The correct Answer is:
A
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PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -SOLUTION TO EXERCISE 10.5
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  4. d/dx(e^(x+5logx))

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  8. The differential coefficient of log(10)x with respect to log(x)10 is

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  9. If f(x)=x+2, " then " f'(f(x)) at x=4 is

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  10. If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is

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  12. If f(x) = {(x - 5, if xle1),(4x^(2) - 9, if (1ltxlt2),(3x +4, if xg...

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  13. It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...

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  14. Assertion (A) : f(x)={{:(x+1",", x lt 2), (2x-1",", x ge 2):} then f'(...

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  16. If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...

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  17. The derivative of f(x)=xabs(x) at x=-3 is

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  18. If f(x)={{:(2a-x","" for "-altxlta),(3x-2a","" for "xgea):} then ...

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  19. If f(x)= {(ax^(2)-b, -1<x<1),(1/abs(x), elsewhere)} is differentia...

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  20. The number of points in R in which the function f(x) = abs(x - 1) + ab...

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