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BANSAL-APPLICATION OF DERIVATIVE-All Questions
- Find the greatest & the least values of the following functions in ...
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- Find the greatest and the least values of the following functions i...
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- If b > a, find the minimum value of |(x-a)^3+|(x-b)^3|, x in R
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- The interval to which a may belong so that the function f(x)=(1-(sqrt(...
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- If f(x)=2e^x-ae^(-x)+(2a+1)x-3 monotonically increases for AA x in R,...
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- Let fa n dg be differentiable on R and suppose f(0)=g(0)a n df^(prime)...
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- Using L M V T prove that tanx > x in (0,pi/2),
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- For what value of adot,\ a n d\ b does the function f(x)={3\ \ ...
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- If f is a continuous function on the interval [a,b] and there exists ...
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- Prove that following inequalities sinxlt=xlt=tanx\ AA\ in [0,pi/2...
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- Find the intervals of monotonicity of the following f(x)=2x^2-"ln"|...
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- Let f(x) be a increasing function defined on (0,\ oo)dot If f...
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- Prove that f(x)=x/(sinx) is an increasing function while g(x)=x/...
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- Let f(x)=x^3+2x^2+x+5. Show that f(x)=0 has only one real roo...
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- Prove that ln (1+1/x) gt (1)/(1+x), x gt 0. Hence, show that the fun...
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- For what values of a , does the function f(x)=((sqrt(a+5))/(1-a)...
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- The minimum value of the function f(x)=x^(3//2)+x^(-3//2)-4(x+1/x) ...
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- Prove that tan^2x+6lns e c x+2cosx+4>6secx for x\ in ((3pi)/2,\...
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- f is continuous in [a, b] and differentiable in (a, b) (where a>0 ) su...
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- f(x) and g(x) are differentiable functions for 0 <= x <= 2 such that f...
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