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Determine the intervals in which the fun...

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

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Determine the values of x for which the function x + 1/x is strictly i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. 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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  16. Find the equation of the tangent to the curve y = -5x^2 + 6x + 7 at th...

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  17. Find the equations of the tangent and the normal to each of the follow...

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  18. Find the equations of the tangent and the normal to each of the follow...

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  19. Find the equations of the tangent and the normal to each of the follow...

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  20. Find the equations of the tangent and the normal to each of the follow...

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