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Show that f(x)=e^(2x) is increasing on R...

Show that `f(x)=e^(2x)` is increasing on `R` .

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Given, `f(x)=e ^(2x) `
` f ′ (x)=2e ^(2x) ...
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RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
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  10. Show that f(x)=cos^2x is a decreasing function on (0,\ pi//2) .

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  11. Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

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  12. Show that f(x)=cosx is a decreasing function on (0,\ pi) , increasing ...

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  13. Show that f(x)=tanx is an increasing function on (-pi//2,\ pi//2) .

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  14. Show that f(x)=tan^(-1)(sinx+cosx) is a decreasing function on the ...

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  15. Show that the function f(x)=sin(2x+pi//4) is decreasing on (3pi//8,\ 5...

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  16. Show that the function f(x)=cot^(-1)(sinx+cosx) is decreasing on (0,\ ...

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