Posted by kimCav on October 30, 2002 at 07:41:46:
I just need a better understanding of the following terms- mostly how they relate to the graph of the function. These are my own words please make corrections or maybe use better wordage.
dervative- slope of the tangent line of the function
antidervative- is the inverse process of a dervative. In words it is the function plus the constant of integration. RIGHT!!!!! The antidervatives are vertical transtions of each other. You can have more than one antidervative when you use + C. (family of the function)
constant of intergration- is a constant of the general solution the C in G(x)=x^2+C When C has a mulitple values it produces a family of antidervative for the function
general solution- is the form used when C does not have a value. the C in G(x)=x^2+C Use it when you do not have the initial conditions
I am still working on trying to understand the following any help would be nice!!!
indefinite intergral
definite intergral
limits of intergration