Find the Derivative of the function using the definition of derivative. State the domain of the function and the domain of the derivative. F(v)=v/(v+2)

Answer 1

F(v) = v(v+2)^-1

F'(v) = v(-1)(v+2)^-2 + (v+2)^-1

=-v/(v+2) + (v+2)/(v+2)^2 = 2/(v+2)^2

F'(v) = limit as h approaches zero of F(v+h)-F(v) all over h

eliminate h from denominator and then let h=0, and you should

get the same answer.

domain of the function F is any real number except v=-2

domain of the derivative F' is the same, any real number except v=-2

v= any real number except a value that makes the denominator zero