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Determine the values of x for which the ...

Determine the values of `x` for which the function `f(x)=x^2-6x+9` is increasing or decreasing. Also, find the coordinates of the point on the curve `y=x^2-6x+9` where the normal is parallel to the line `y=x+5` .

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
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  12. Show that f(x)=cos^2x is a decreasing function on (0,\ pi//2) .

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

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

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

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

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  19. Show that f(x)=(x-1)e^x+1 is an increasing function for all x >0 .

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