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Home Q & A Board Science-Related Homework Help Mathematics Calculus
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Catracho Catracho
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4 years ago Edited: 4 years ago, bio_man
Suppose F(t) has the derivative f(t) shown below, and F(O) = 1. Find values for F(1) and F(7)


Let A(x) with f(x) shown in the graph below.

At what x values does A(x) have a local max

At what x values does A(x) have a local min
 
Restrict your answers to values 0 < x 6
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Educator
4 years ago
I get the answers 1.5 and -3.5
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Educator
4 years ago
Quote from: Catracho (4 years ago)
Let A(x) with f(x) shown in the graph below. At what x values does A(x) have a local max At what x values does A(x) have a local min   Restrict your answers to values 0 < x 6

When the derivative function crosses the x axis, so when x = 0, that's when you have a local maximum in the actual function. When the graph passes the x-axis going upwards, that's a local minimum. The opposite it true when the graph passes the x-axis going downwards; that happens twice here at 2 and 6.

x = 2 and 6 is the local maximum,
x = 4 is the local minimum
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