Question

Find a point c satisfying the conclusion of the MVT for the given function and interval y=x^3 [-4,5]

Answer 1

\[f \prime c=\frac{ f(b)-f(a) }{ b-a }\]

Answer 2

\[\frac{ 5^{3}-(-4^{3}) }{ 5-4 }=189\]

Answer 3

\[f \prime (c)=3x ^{2}\]

Answer 4

\[3x ^{2}=189\]

Answer 5

\[x ^{2}=63\]

Answer 6

so logically \[x=\sqrt{63}\]

Answer 7

but in the book it says it is equal to \[\pm \sqrt{7}\]

Answer 8

???????????

Answer 9

@myininaya

Answer 10

@brainzonly

Answer 11

\[\frac{ f(5)-f(-4) }{ b-a } = \frac{5^3- (-4)^3} {5-(\color{Red}{-4})}\]

Answer 12

oh my goodness thank you soo much im soo dumb sorry

Answer 13

no you're not. these types of mistakes are common 4 calc students ;P