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If f(a)=2,f'(a)=1,g(a)=-,g'(a)=2, then t...

If `f(a)=2,f'(a)=1,g(a)=-,g'(a)=2`, then the value of `lim_(xtoa)(g(x)f(a)-g(a)f(x))/(x-a)` is :

A

`-5`

B

`1/5`

C

5

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -MCQs (LEVEL-II)
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  2. There exists a function f(x) satisfying : f(0)=1,f(1)=-(1)/(e),f(x)g...

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  3. If f(a)=2,f'(a)=1,g(a)=-,g'(a)=2, then the value of lim(xtoa)(g(x)f(a)...

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  4. Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x), for ...

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  5. If f(x) is odd differentiable function defined on (-oo,oo), such that ...

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  6. Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...

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  11. The differentiable coefficient of x^(6) w.r.t. x^(3) is :

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  12. If y=(sinx)^cosx, then find (dy)/(dx).

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  13. The function f(x)=(x^(2)-1)|x^(2)-3x+1|+cos(|x|) is not differentiable...

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  14. If y=ce^(x//(x-a)), then 1/y(dy)/(dx) is equal to :

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  15. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

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  17. Derivative of (log x)^(4) is

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  18. If x=e^(y+e^(y+ . . . . .. "to "oo)),xgt0, then (dy)/(dx) is :

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  19. Suppose f(x) is differentiable at x=1 and lim(hto0)(1)/(h)(1+h)=5, the...

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  20. If f is a real valued differentiable function satisfying : |f(x)-f(y...

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