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Find the intervals of decrease and incre...

Find the intervals of decrease and increase for the function `f(x)=cos(pi/x)`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Let f be a continuous, differentiable, and bijective function. If the ...

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  3. Find the intervals of decrease and increase for the function f(x)=cos(...

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  4. If f(x)a n dg(x) are differentiable functions for 0lt=xlt=1 such that ...

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  5. Find the interval of monotonocity of the function f(x)=|x-1|/x^2dot

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  6. A continuous and differentiable function y=f(x) is such that its graph...

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  7. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

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  8. If f(x) is continuous in [a , b] and differentiable in (a,b), then pro...

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  9. Prove that the following functions are strictly increasing: f(x)=cot^(...

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  10. The radius of the base of a cone is increasing at the rate of 3 cm/min...

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  11. Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

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  12. Let f(x)a n dg(x) be differentiable for 0lt=xlt=1, such that f(0)=0,...

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  13. Find the number of solutions of the equation 3tanx+x^3=2 when x in...

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  14. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have a....

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  15. Let g(x)=f(x)+f(1-x) and f''(x)>0AAx in (0,1)dot Find the intervals of...

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  16. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

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  17. Show that tan^(-1)x > x/(1+(x^2)/3)ifx in (0,oo)dot

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  18. Consider the function f(x)={xsinpi/x ,forx >0 ,forx=0 The number of ...

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  19. For x > 0 lf x=pi/2, show that x-(x^3)/6 < sinx < x

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  20. Let f(x) be a twice differentiable function for all real values of x a...

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