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Calculus

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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

  • Calculus -

    It seems the post didn't post so I put it again.

    2) use the chain rule where 2 separated parts.

    y= (3x+ 5)^8
    x= 3x+5
    dx= 3

    y'= x^8dx
    8x^7 dx
    put back what x is and get

    8*3(3x+5)^7

    I just put back the dx as well and moved it to multiply it with the 8
    so..

    24(3x+5)^7

    this is what it should be if I remember how to do this since I'm not looking at my cal book right now

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