Why we are equating first derivative to zero to find maximum value?
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Thus at the point of maxima or minima, one finds that the slope is zero. Hence the first derivative is zero. If the derivative is equal to zero at a certain point, it does not necessarily means that the point is a minimum of the function. ... The first derivative of a function shows the nature of the slope of that point.
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A zero derivative means that the function has some special behaviour at the given point. It may have a local maximum, a local minimum, (or in some cases, as we will see later, a "turning" point)...
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