derivitive wrt r of int[u(r-w-g(theta)+e)f(theta)d(theta)

[marie316]

I am having trouble with a derivitive.

I need to take the derivitive with respect to r of:

. . .∫u(r – w – g(θ) + e)f(θ)d θ

Can anyone help? Thank you!

 

[pka]

In what context did this integral occur?
Without any further explanation, the derivative with respect to r is: \(\displaystyle uf(\theta ).\)

 

[JakeD]

In what context did this integral occur?
Without any further explanation, the derivative with respect to r is: \(\displaystyle uf(\theta ).\)

Shouldn't this be

\(\displaystyle \L \frac{d}{dr} \int u(r - w - g(\theta) + e)f(\theta) d\theta = \int u'(r - w - g(\theta) + e)f(\theta) d\theta\)

from differentiating under the integral sign?

 

[pka]

Is u() a function? Or is u a constant?
I did not know. If u() is a function then I agree with you.
That is why I asked for a claification.
If u is a constant then I suppose it would be \(\displaystyle \
u\int {f(\theta )d\theta }\)

 

[marie316]

u is a function

The u is a function.

Sorry I did not specify that.