dy =? If y = cos-‘ (4 cos x – 3 cos x), dx​

Question

dy
=?
If y = cos-‘ (4 cos x – 3 cos x),
dx​

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Emery 4 weeks 2021-08-16T21:29:28+00:00 1 Answer 0 views 0

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    0
    2021-08-16T21:30:51+00:00

    Answer:

    Step-by-step explanation:

    Ans : dy/dx = (3sinx + 4cosx)/5 siny

    y = cos⁻¹ (3cos x- 4sinx)/5

    cos y = (3cos x- 4sinx)/5

    5 cos y = 3cosx – 4sinx

    now, apply differentiation

    5(-sin y) (dy/dx) = 3(-sinx) – 4(cosx)

    -5 sin y (dy/dx) = -3sinx -4cosx

    now simplify equation, we get

    dy/dx = (3sinx + 4cosx)/5 siny

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