Consider the function

$A\left(x\right)={\int }_0^x{t}^{2}dt;B\left(x\right)={\int }_3^x{t}^{2}dt;$

$$\begin{gathered} \left(a\right)\mathrm{The}\mathrm{objective}\mathrm{is}\mathrm{to}\mathrm{explain}\mathrm{why}\mathrm{their}\mathrm{derivatives}\mathrm{differ}\mathrm{by}\mathrm{a}\mathrm{constant}\mathrm{by}\mathrm{comparing}\mathrm{the}\mathrm{derivatives}\mathrm{of}\mathrm{A}\left(\mathrm{x}\right)\&\mathrm{B}\left(\mathrm{x}\right). \\ \left(\mathrm{b}\right)\mathrm{The}\mathrm{objective}\mathrm{is}\mathrm{to}\mathrm{explain}\mathrm{why}\mathrm{their}\mathrm{derivatives}\mathrm{differ}\mathrm{by}\mathrm{a}\mathrm{constant}\mathrm{by}\mathrm{comparing}\mathrm{the}\mathrm{derivatives}\mathrm{of}\mathrm{A}\left(\mathrm{x}\right)-\mathrm{B}\left(\mathrm{x}\right). \end{gathered}$$

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!