find the local maxima and local minima if any, of the following functions. Find also the local maximum and local minimum values, as the case

Question

find the local maxima and local minima if any, of the following functions. Find also the local maximum and local minimum values, as the case may be
f(x) = sinx – cosx ,0<x<2n​

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Harper 1 month 2021-08-12T04:12:15+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-12T04:13:24+00:00

    Plz Mark me as the brainlest..

    Step-by-step explanation:

    The points for which f

    (x)=0 or DNE are the points of local minima or local maxima

    f(x)=sinx−cosx

    dx

    d(f(x))

    =

    dx

    d(sinx−cosx)

    f

    (x)=cosx+sinx

    For, f

    (x)=0, tanx=−1

    Since, x∈(0,2π), x=135

    o

    Now, Let’s find this vlaue of local maxima or minima

    f(135

    o

    ) = sin(135

    o

    )−cos(135

    o

    )=

    2

    1

    2

    −1

    =

    2

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