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Let f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1), the...

Let `f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1),` then the set of `x` satisfying the inequality `f'(x) lt g'(x)` is

A

`(2, 7/2)`

B

`(1,2)cup(7/2,oo)`

C

`(2,oo)`

D

`(7/2,oo)`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  2. Which of the following could be the sketch graph of y = (d(xlnx))/dx

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  3. Let f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1), then the set of x satisfying the ...

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  4. If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(2)))=a ,then (dy)/(dx) =

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  5. Iff(x)=|x|^(|sinx|),thenf'((pi)/(4)) equals

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  6. y=x/(a+x/(b+x/(a+x/(b+...oo)))), (dy)/(dx)=b/(a(b+2y))

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  7. If y=x^(x^(2)), then (dy)/(dx) equals

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  8. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

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  9. If x^2e^y+2xye^x+13=0 then (dy)/(dx)=

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  10. If x=e^(y+e^(y+e^(y+...oo))),xgt0, then (dy)/(dx) is equal to

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  11. Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(...

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  12. If f and g are the function whose graphs are as shown, let u(x)=f(g(x)...

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  13. f'(x) = g(x) and g'(x) =-f(x) for all real x and f(5)=2=f'(5) then f^2...

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  14. if f(x) = x +x^2/1! + x^3/2! +----+ x^n/(n-1)! then f(0) + f'(0) + f'...

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  15. If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to

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

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  17. If y=f(x)andx=g(y) are inverse functions of each other, then

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  18. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

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  19. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

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  20. If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x), the value...

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