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BANSAL-APPLICATION OF DERIVATIVE-All Questions
- Let f be a twice differentiable function on [0,2] such that f(0)...
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- Find the value of a , if the equation x-sinx=a has a unique r...
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- Find the intervals in which the given function increases or decreas...
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- Prove the following inequalities 1+cotx\ lt=cotx/2\ AA\ x in (0,pi)
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- Leg f(x)=x^3+a x^2+b x+5sin^2x be an increasing function on the set Rd...
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- Find the values of x where f(x)=sin(lnx)-cos(lnx) in strictly increasi...
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- Prove that sin^2theta<thetasin(sintheta)for0<theta<pi/2dot
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- Let f: R->R be a function such that f(x)=a x+3sinx+4cosxdot Then f(x...
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- f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,5/2)uu(3,oo)...
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- A function g(x) is defined as g(x)=1/4f(2x^2-1)+1/2f(1-x^2)a n df(x) ...
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- Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...
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- The intervals of increase of f(x) defined by f(x)=int(-1)^x(t^2+...
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- If mean value theorem holds good for the function f(x)=(x-1)/x on ...
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- Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...
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- Find the critical points of the function f(x)=2/3sqrt(x^3)-x/2+int1^x(...
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- Let f(x)=x+\ sqrt(x)\ "o n"\ [1,4]dot The mean value theorem say...
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- Consider f(x)=|1-x|\ \ 1\ lt=xlt=2\ a n d\ \ g(x)=f(x)+bsinpi/2\ ...
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- If f is a continuous function on [0,1], differentiable in (0, 1) such ...
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- If the function f(x)=2x^2 + 3x + 5 satisfies LMVT at x = 2 on the clo...
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- Consider the function f(x)=8x^2-7x+5 on the interval [-6,6]dot Find th...
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