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Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),...

Let `f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):}` then number of points (where f(x)attains its minimum value) is

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  • APPLICATION OF DERIVATIVES

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is

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

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  3. 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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  4. Let p(x)be a polynomial of degree 4 having extremum at x = 1,2 and lim...

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  5. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...

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  6. Given, f(x)=(x-1)/(2x^2-7x+5) when xne1 Find the derivative of f(x) a...

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  7. lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0

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  8. if y=x^3 then prove that xdy/dx-3y=0

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  9. Find the intervals in which the following functions are increasing or ...

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  10. Find the intervals in which the follwing functions are increasing or d...

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  11. Find the intervals in which the follwing functions are increasing or d...

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  12. Find lim(x->0)(sin(pisin^2(x))/x^2)

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  13. lim(x to 0) (1-cosx)/x^2 = ?

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  14. If f(x)=ax^3+bx^2+cx+d has local extrema at two points of opposite si...

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  15. Prove that if 2a0^2lt15a all roots of x^5-a0x^4+3ax^3+bx^2+cx+d=0 can...

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  16. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

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  17. Let a+b=4, where a gt 2 and let g(x)be a differentiable function. If ...

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  18. On the curve x^3=12y the abscissa changes at a faster rate than the or...

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  19. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

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  20. The function f(x)=tan^(-1)x-x decreases in the interval

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