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If tangents are drawn from the origin to the curve y=sin x , then their points of contact lie on the curve

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
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  2. Show that f(x) =tan^(-1)(sinx+cosx) is an increasing function in (0,pi...

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  3. If tangents are drawn from the origin to the curve y=sin x , th...

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  4. For all x in (0,1), then

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  6. f (x) =2x -tan ^(-1) x - ln (x+ sqrt(1+ x ^(2)))

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  7. Write the set of values of a for which f(x)=cosx+a^2\ x+b is strictly ...

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  8. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

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  9. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

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  10. If f (x)=a ln |x| +bx^(2) +x has extremas at x=1and x=3 then:

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  11. if f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2)),(- cos x, -(pi)/(2)lt x ,le 0...

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  14. Let f(x)={:{(6","xle1),(7-x","xgt1):} 'then for f(x) at x=1 discuss ma...

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  15. If xy =10, then minimum value of 12x^2 + 13y^2 is equal to :

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  16. If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

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  17. Let f(x)={:{(|x-2|+a^(2)-9a-9","ifxlt2),(2x-3"," if xge2):} Then, f...

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  19. The third derivative of a function f'''(x) vanishes for all f(0)=1,f'(...

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