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24 October, 13:10

Find the derivative of the function. y = a7 + cos7 x.

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Answers (2)
  1. 24 October, 13:58
    0
    Yas, I'm learning this

    remember

    f' (a+b) = f' (a) + f' (b)

    and

    f' (cos (x)) = - sin (x)

    and

    f' (g (x)) = f' (g (x)) g' (x)

    and

    f' (xⁿ) = nxⁿ⁻¹

    f' (a⁷+cos (7x)) =

    f' (a⁷) + f' (cos (7x)) =

    7a⁶+f' (cos (7x)) f' (7x) =

    7a⁶-sin (7x) (7f' (x)) =

    7a⁶-sin (7x) (7*1) =

    7a⁶-sin (7x) (7) =

    7a⁶-7sin (7x)

    f' (a⁷+cos (7x)) = 7a⁶-7sin (7x)
  2. 24 October, 15:07
    0
    The derivative of the function.

    y = x^7 + cos7 x.

    dy/dx = 7x^6 - 7sin 7x

    Enjoy!
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