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Application of Partial Derivatives- Maxima and Minima of Function of Two variables

Partial derivatives serve as a powerful tool for uncovering the peaks of functions, especially those with multiple variables. when dealing with functions of two variables let us say F(x, y), finding their maximum and minimum points becomes a practical pursuit, led by real-world implications.

imagine you're navigating a landscape of Shivalik hills and valleys, or each point representing a potential profit and loss in a business endeavor. to pinpoint the highest peaks of profit and the lowest troughs of loss, partial derivatives help us do just that.

First, we hunt for what's known as stationary points- spots where the slope or derivative is zero. By analyzing the sign changes in the partial derivatives around these stationary points, we discern whether they signify maxima, minima, or neither.






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