derivative under integration

[yiwu]

V_t=integrate from t to infinity (c(X_s)-B)(g(X_s)-dX_s/ds)e^-a(s-t)ds
c(X_s)=A/(qX_s),g(X_s)=rX_s(1-X_s/K)
What is dVt/dt?

Thank you so much for your help!

 

[Deleted member 4993]

V_t=integrate from t to infinity (c(X_s)-B)(g(X_s)-dX_s/ds)e^-a(s-t)ds
c(X_s)=A/(qX_s),g(X_s)=rX_s(1-X_s/K)
What is dVt/dt?

Thank you so much for your help!

Use Leibniz's integral rule.

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

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