Prove that the area of right-angled triangle of given hypotenuse is maximum when the triangle is isosceles.

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Maximum and Minimum Values of a Function, First Derivative Test for Maxima and Minima | PadhAiPro

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TextMaximum and Minimum Values of a FunctionFirst Derivative Test for Maxima and Minima

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Show that the function f(x) = 4x³ – 18x² + 27x – 7 has neither maxima nor minima.

TextLocal Maxima and Local MinimaFirst Derivative Test for Maxima and Minima

If M and m denote the local maximum and local minimum values of the function f(x) = x + 1/x (x ≠ 0) respectively, find the value of (M – m).

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Local Maxima and Local Minima

First Derivative Test for Maxima and Minima

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CASE_STUDIESMaximum and Minimum Values of a Function

The function f(x) = x/2 + 2/x has a local minima at x equal to :

MCQ (Single)Local Maxima and Local MinimaFirst Derivative Test for Maxima and Minima