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BANSAL-APPLICATION OF DERIVATIVE-All Questions
- Find least and greatest value of f(x)=e^x^(2-4x+3)\ in [-\ 5,5]
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- Find the image of interval [-1,3] under the mapping specified by...
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- Find the range of the following functions f(x)=\ sqrt(x-3)+2sqrt(5-...
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- Find the range of the following function f(x)=(x^4-x^2-2x+8)/(x^4-x...
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- Prove that 2sinx+tanx\ geq3x\ \ (0lt=x<pi/2)
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- Find the set of values of x for which the inequality In(1+x)>x/(1+x) ...
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- Show that ln\ (1+x)> x-(x^2)/2\ AA\ x\ in (0,oo)
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- Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .
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- Prove that x/(1+x)>ln(1+x)< x AA x>0
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- f( x )=cos3x−15cosx+8 in [ π/ 3 , 3π/ 2 ] is increasing or ...
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- Use the function f(x)=x^(1/x),x >0, to determine the bigger of the two...
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- Prove that e^x-e^(-x)-2x >0\ AA\ x > 0. Hence, prove that e^x+e^...
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- prove that the function f(x)=(lnx)/x , is strictly decreasing in...
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- Verify Rolles Theorem for f(x)=(sin x)/(e^x)\ in\ [0,pi]\ \ \ \ ...
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- Find c of L M V T f(x)=\ sqrt(x-1)\ \ " in "\ [1,3]
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- Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot
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- Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the inte...
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- Let f(x)=4x^3-3x^2-2x+1, use Rolles theorem to prove that there ...
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- 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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