More differentiation help please
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More differentiation help please

[From: ] [author: ] [Date: 11-11-15] [Hit: ]
.Thanks!2) You can use the chain rule, differentiation of (e^(sin(x))) = ( de^u)/( du) ( du)/( dx),So: the solution is e^(sin(x)) cos(x)-Let us see now x^2 + 1 divided by x will be surely x + 1/x wont it now ??......
I need urgent help differentiating the following;

1) (x^2+1)/(x) >>>>>> when I tried to do this using the quotient rule, I ended up back where I started..

2) e^sinx

Thanks!

-
1) That is X^2/x + 1/x
= x + 1/x
The differentiation is simply:
1 - 1/(x^2)

2) You can use the chain rule, differentiation of (e^(sin(x))) = ( de^u)/( du) ( du)/( dx), where u = sin(x) and ( de^u)/( du) = e^u:
- That will be: e^(sin(x)) (d/dx(sin(x)))
- The derivative of sin(x) is cos(x):
So: the solution is e^(sin(x)) cos(x)

-
Let us see now
x^2 + 1 divided by ' x ' will be surely
x + 1/x won't it now ??
1
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