How do we calculate the Max value of x?

Thread starter osy044
Start date Sep 5, 2010
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Max Value

AI Thread Summary

To calculate the maximum value of x in the given equation, one must analyze how x changes as the angle α varies. The equation for x includes constants a, V, and g, with g representing gravitational field strength. A common approach to find the maximum of a function involves taking the derivative of the function with respect to α, setting it to zero, and solving for α. This will identify critical points, which can then be evaluated to determine the maximum value of x. Understanding the behavior of the function through calculus is essential for solving this problem effectively.

Sep 5, 2010

osy044

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?

Homework Equations

The Attempt at a Solution

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Sep 5, 2010

vela

Staff Emeritus

Science Advisor

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How do you usually find the maximum of a function?

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