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- If g(x)=f(x)+f(1-x) and f prime prime (x)< 0; 0 <= x <= 1. show that g...
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- Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)
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- Compute the intervals of monotonicity for the following f(x)=x+ln(...
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- Find value of a so that f(x)=a x-s in x\ is monotonic
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- Prove that f(x)=2/3x^9-x^6+2x^3-3x^2+6x-1 is always increasing.
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- 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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