How do we calculate the Max value of x?

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SUMMARY

The discussion focuses on calculating the maximum value of the function x defined as x=(4aV^2tanα)/(V^2+2ag+2agtan²α), where a, V, and g are constants, and g represents gravitational field strength. Participants emphasize the need to apply calculus techniques, specifically finding the derivative of the function with respect to α and setting it to zero to identify critical points. The discussion highlights the importance of understanding trigonometric identities and their derivatives for effective analysis of the function.

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  • Understanding of calculus, specifically differentiation
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  • Knowledge of critical points and optimization techniques
  • Basic grasp of gravitational physics concepts
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  • Explore the application of the first derivative test for critical points
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Homework Statement


where

x=(4aV^2tan\alpha)/(V^2+2ag+2agtan^2\alpha)

where a, V, g are constant. g is gravitational field strangth.
what is the greatest value of x as \alpha varies?

how do i even start?

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