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Find the intervals in which the function...

Find the intervals in which the function `f` given `f(x)=\ s in x+cosx ,\ 0lt=x\ lt=2pi,\ ` is strictly increasing or strictly decreasing.

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The correct Answer is:
(i)`(0,pi/4)cup ((5pi)/(4)2pi)" "(ii)(pi/4,(5pi)/4)`
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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6b
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  6. Prove that the function given by f(x) = cos xis(a) strictly decreasing...

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  7. Find the intervals in which the following functions are: (i) increas...

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  8. Show that the function f(x) = 1/(1+x^(2)) is increasing function in th...

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  9. Show that the function f(x)=x^(3)+1/(x^(3)) is decreasing function in ...

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  10. Show that y='log(1+x)-(2x)/(2+x)', is an increasing function of x thro...

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  12. Let I be an interval disjointed from [-1,\ 1] . Prove that the functio...

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  13. Show that the function f(x) = log (sin x) (i) is strictly increasing...

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  14. Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing i...

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  15. Find the intervals in which the function f given f(x)=\ s in x+cosx ,\...

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  16. Show that the function f(x) = log cos x is : (i) Strictly decreasin...

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  17. prove that (x)/(1+x) lt log (1+x)ltx, for all xgt 0

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