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In this lesson, we will learn how to interpret and use the mean value theorem and Rolle's theorem.
Q1:
For the function ๐ ( ๐ฅ ) = 3 ๐ฅ ๏ฉ , find all the possible values of ๐ that satisfy the mean value theorem over the interval [ 1 , 3 ] .
Q2:
For the function ๐ ( ๐ฅ ) = ๐ฅ โ 4 ๐ฅ ๏ฉ , find all the possible values of ๐ that satisfy the mean value theorem over the interval [ โ 2 , 2 ] .
Q3:
For the function ๐ ( ๐ฅ ) = ( ๐ฅ โ 1 ) ๏ฎ , find all the possible values of ๐ that satisfy the mean value theorem over the interval [ 0 , 2 ] .
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