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RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
- Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3
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- Solve: (x^2-2x+5)/(3x^2-2x-5)>1/2 .
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- Solve: (x^2-2x+24)/(x^2-3x+4)lt=4 .
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- Solve: (x^2-4x+7)/(x^2-7x+12)lt=2/3 .
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- Show that the function f(x)=2x+3 is strictly increasing function on...
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- Show that the function f(x)=x^2 is strictly increasing function on ...
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- Show that the function f(x)=a^x ,\ a >1 is strictly increasing on Rdot
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- Show that the function f(x)=-3x+12 is strictly decreasing function ...
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- Show that the function f(x)=a^x ,\ 0<a<1 is strictly decreasing on R .
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- Show that the function f(x)=x^2 is a strictly decreasing function o...
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- Show that the function f(x)=x^2 is neither strictly increasing nor ...
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- Prove that the function f(x)=(log)e x is increasing on (0,\ oo) .
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- Prove that the function f(x)=(log)a x is increasing on (0,\ oo) if a >...
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- Prove that f(x)=a x+b , where a ,\ b are constants and a >0 is an incr...
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- Prove that f(x)=a x+b , where a ,\ b are constants and a<0 is a decrea...
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- Show that f(x)=1/x is a decreasing function on (0,\ oo) .
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- Show that f(x)=1/(1+x^2) decreases in the interval [0,\ oo) and increa...
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- Show that f(x)=1/(1+x^2) is neither increasing nor decreasing on R ...
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- Without using the derivative, show that the function f(x)=|x| is (a) s...
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- Without using the derivative show that the function f(x)=7x-3 is stric...
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