i'm so sorry for keep asking questions but im really confused for this one.

the problem is y=(e^(x-1)*sin^2*x)/(((x^2)+5)^2x)

the trig function (sin^2 + 5), i don't know how to get a derivative out of that.

help me plz!

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- Feb 20th 2009, 01:02 AMkatieeejlogarithmic differentiation
i'm so sorry for keep asking questions but im really confused for this one.

the problem is y=(e^(x-1)*sin^2*x)/(((x^2)+5)^2x)

the trig function (sin^2 + 5), i don't know how to get a derivative out of that.

help me plz! - Feb 20th 2009, 01:10 AMtah
- Feb 20th 2009, 01:15 AMkatieeej
the equation is

e^(x-1)*sin^2 (x) / (x^2 + 5)^2x

its really complicated i'm sorry!

it's sin square of (x) and (x^2 +5) is x square and plus 5, separately.

thanks! - Feb 20th 2009, 01:44 AMsynclastica_86
We have:

To make things cleaner, we use the product rule and let:

and

We now have:

Using the product:

Using the chain rule:

here I use the property:

Now I'll leave it for you to plug in and simplify. - Feb 20th 2009, 01:49 AMtah
- Feb 20th 2009, 01:59 AMGrandadDifferentiating