Differentiate the functions given in w.r.t. x. x^{x}-2^{sin\ x}

Question

Differentiate the functions given in w.r.t. x.
x^{x}-2^{sin\ x}

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Julia 3 weeks 2021-10-05T06:20:39+00:00 1 Answer 0 views 0

Answers ( )

  1. Emma
    0
    2021-10-05T06:21:53+00:00

    Step-by-step explanation:

    let

    y = x^x – 2^sinx

    let

    u = x^x

    logu = xlogx

    differentiating w.r.to x

    du/dx = u( logx + 1)

    let

    v = 2^sinx

    logv = 2logsinx

    differentiating w.r.to x

    dv/dx = v(2cotx)

    Now on putting the value

    y = u + v

    differentiating w.r.to x

    dy/dx = du/dx + dv/dx

    on putting the above value

    dy/dx = x^x(logx + 1) +2^(sinx +1)*cotx

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