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Prove that the following functions are s...

Prove that the following functions are strictly increasing: `f(x)=cot^(-1)x+x`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. If f(x) is continuous in [a , b] and differentiable in (a,b), then pro...

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

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

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

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

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

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

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

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

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

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

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