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Show that the function given by f(x)=e^...

Show that the function given by `f(x)=e^(2x)` is strictly increasing on R.

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f(x)=e^2 x , f^(x)=2 e^2 xgt0. in every interval of .R. .therefore. fis strictly increasing on .R..
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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

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  2. Show that the function given by f(x)=3x+17 is strictly increasing on R...

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  3. Show that the function given by f(x)=e^(2x) is strictly increasing on...

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  4. Show that the function given by f(x)=sin x is a) strictly increasing ...

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  5. Find the intervals in which the function f given f(x)=2x^2-3x is Str...

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  6. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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

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  8. Find the value of x for which y=[x(x-2)]^2 is an increasing function.

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  9. Prove that y=(4 sin theta)/((2+cos theta))-theta is an increasing func...

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  10. Prove that the logarithmic function is strictly increasing on (0,oo)

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  11. Prove that the function f given by f(x)=x^2-x+1 is neither strictly in...

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  12. Which of the following functions are strictly decreasing on '(0, pi/2)...

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  13. On which of the following intervals is the function f given by f(x)=x^...

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  14. Find the least value of a such that the function f given by f(x)=x^2+a...

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  15. Let I be any interval disjoint from (-1,1) Prove that the function f g...

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  16. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

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  17. Prove that the function f given by f(x)=log cos x is strictly decreasi...

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  18. Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in...

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  19. The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) ...

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  20. Find the slope of the tangent to the curve 'y=x^3-x' at 'x=2'.

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