Question

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

Answer 1

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