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Prove that the function given by f(x)=co...

Prove that the function given by `f(x)=cos x` is
(a) Strictly decreasing in `(0, pi)`
(b) Strictly increasing in `(pi, 2 pi)` and
(c) neither increasing nor decreasing in `(0,2 pi)`

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
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  2. Show that the function given by f(x)=sin x is a) strictly increasing ...

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  6. Consider parametric forms given by x=asin^3t,y=b cos^3t Find the equat...

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  10. Prove that the following functions do not have maxima or minima g (x) ...

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  12. The slope of the tangent to the curve y=e^(2x) at (0,1) is.....a)1 b)2...

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  13. Find the intervals in which the function f(x)=x^2+2x-5 strictly increa...

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  14. Find the equation of tangents and normals to the given curves y=x^3 at...

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  15. Find local maximum and local minimum if any for the function. h(x)=sin...

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  16. Find the slope of tangent line to the curve y=x^2-2x+1

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  17. f(x) is a strictly increasing function, if f'(x) is........a)Positive...

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  18. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

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  19. Find the slope of the tangent to the curve y=(x-2)^2 at x=1

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