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If f'(x)= x and f(1)=3, find f(x)...

If `f'(x)= x and f(1)=3`, find f(x)

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Consider the two curves C1:y^2=4x,C^2:x^2-y^2-6x+1=0. Then.

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  2. If the line a x+b y+c=0 is a normal to the curve x y=1, then (a)a >0,...

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  3. If f'(x)= x and f(1)=3, find f(x)

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  4. The interval to which 'b' may belong so that the function f(x)=(1-(sqr...

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  5. The function f(x)=underset(-1)overset"x"intt(e^t-1)(t-1)(t-2)^3(t-3)^5...

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  6. If a line is tangent to one point and normal at another point on the c...

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  7. Let f'(x)gt0 and g'(x)lt0 for all x in R, then

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  8. If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

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  9. Let f(x)=(x-1)^m(x-2)^n,"x"inR then each critical point of f(x) is eit...

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  10. The difference between the greatest and least values of the function f...

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  11. For f(x)=int0^x2|t| dt ,the tangent lines which are parallel to the b...

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  12. Let x^3+ax^2+bx+c be the given cubic polynomlal and f(x) = 0 be the co...

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  13. Let x^3+ax^2+bx+c be the given cubic polynomlal and f(x) = 0 be the ...

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  14. Let f and g are two functions such that f(x) and g (x)are connuous in ...

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  15. Let f and g are two functions such that f(x) and g (x)are connuous in ...

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  16. If f(x) = 1/(1+x), then find f[f{f(x)}].

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  17. If f(x)=4^x/(4^x-2) then find the value f(x)+f(1-x).

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  18. The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is

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  19. The maximum value of the expression1/(sin^2theta+3sinthetacostheta+5co...

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  20. Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...

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