Ali asked in Science & MathematicsMathematics · 6 months ago

A curve has a equation. ?

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2 Answers

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  • 6 months ago

    Apply the dy/dx = dy/du x du/dx rule 

    Let 1 + 3Cos^2x = u 

    Hence 

    y = 2/3 ln u 

    dy/du = (2/3)(1/u)

    du/dx = 3(2)Cos(x)(-Sin(x)) = -6Sin(2x)

    Hence dy/du x du/dx = (2/3)(1/(1 + 3Cos^2(x)) X (-6Sin(2x)) 

    Tidying up 

    dy/dx = -4Sin(2x) / (1 + 3Cos^2(x))

  • 6 months ago

    Here is your solution -

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