Chain Rule

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Any help would be much appreciated with the steps involved in each problem given. Thank you.

1) Find derivative if y =cot x + sin x


2) Find derivative if y = (3x+5)^8


3) Find derivative if y = x csc x


4) Find derivative if y = x ã3x + 1 (3x + 1 is under the square root)


5) ( f ◦ g )Œ if f ( x) = x^5 + 1 and g (x) = ãx at x = 1 (the x is under the square root)


Best Regards

  • Chain Rule -

    2) Let u = 3x+5 and use the chain rule
    dy/dx = dy/du*du/dx
    y = u^8
    dy/du = 8 u^7
    u = 3x+5
    du/dx = 3

    You complete the problem. If you need help with the others, show your work and help will be provided.

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