( ( Just ( as ( we ( have ( defined ( instantaneous velocity ) ) ) ) ) ) ( , ( we ( ( can ( define ( ( the ( instantaneous rate ) ) ( of ( change ( of ( a function ) ) ) ) ) ) ) . ) ) ) )
(ROOT (S (SBAR (RB Just) (IN as) (S (NP (PRP we)) (VP (VBP have) (VP (VBN defined) (NP (JJ instantaneous) (NN velocity)))))) (, ,) (NP (PRP we)) (VP (MD can) (VP (VB define) (NP (NP (DT the) (JJ instantaneous) (NN rate)) (PP (IN of) (NP (NP (NN change)) (PP (IN of) (NP (DT a) (NN function)))))))) (. .)))
Just as we have defined instantaneous velocity, we can define the instantaneous rate of change of a function.
(ROOT (S (NP (JJ Instantaneous) (NN velocity)) (VP (VBZ is) (VP (VBN defined) (PP (IN as) (NP (NP (DT the) (NN velocity)) (PP (IN of) (NP (DT the) (NN object))))) (PP (IN at) (NP (DT a) (VBN given) (NN moment))))) (. .)))