Application Of Derivatives

Question

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:
f(x) = x²

Solution

Let f (x) = x²∴ f ' (x) = 2x
f ' (x) = 0 gives us x = 0
When x < 0 slightly, f ' (x) = 2 (– ve) = – ve
When x > 0 slightly, f ' (x) = 2 ( + ve) = +ve
∴ at x = 0, f ' (x) changes from – ve to + ve
∴ f (x) has local minimum value at x = 0
and this local minimum value = 0.

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Application Of Derivatives

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:
f(x) = x²

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For Daily Free Study Material Join wiredfaculty

Application Of Derivatives

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:f(x) = x2

Some More Questions From Application of Derivatives Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:
f(x) = x²