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Prove that the function f(x) = tanx-4x i...

Prove that the function f(x) = tanx-4x is strictly decreasing on `(-pi/3,pi/3)`

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Prove that the function f(X) = cosx is strictly decreasing (0,pi) and ...

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  2. Determine whether the following function is increasing or decreasing i...

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  3. Prove that the function f(x) = tanx-4x is strictly decreasing on (-pi/...

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  4. Find for which values of 'x', the functions: y =x^4 -(4x^3)/3 is incre...

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  5. Find the intervals in which the function f given by f(x) = 4x^3 - 6x^2...

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  6. Determine the values of x for which the function x + 1/x is strictly i...

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  7. Determine the values of x for which the function 2x^3 - 24x + 5 is inc...

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  8. Determine the intervals in which the function f(x) = x^3 + 5x^2 -1 is ...

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  9. Find the interval in which the function f(X) = 3x^4 - 4x^3 - 12 x^2 + ...

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  10. Determine the intervals in which the function f(x) = x^4 - 8x^3 + 22 x...

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  11. Find the intervals in which the function f(X) = (x-1)^3(x-2)^2 is incr...

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  12. Find the intervals in which the function 'f' given by: f(x) = sin x-co...

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  13. Show that the function f(x) = (sin3x) is strict decreasing on (0, pi/2...

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  14. Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is alw...

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  15. Find the intervals of increase and decrease of the function f(x) = (lo...

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  16. Find the intervals in which the function is increasing or decreasing: ...

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  17. Prove that f(X) = x - [x] is increasing in (0,1)

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  18. Find the interval of monotonocity of the function f(X) = 2x^2 - log |x...

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  19. Integrate the function: sin^(-1)((2x)/(1+x^2))

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  20. Find all a in R s.t. the function f(X) = (a+2) x^3 - 3 ax^2 +9 ax - 1 ...

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