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Suppose F ( t ) has the derivative f ( t ) shown below, and F ( 0 ) = 1 . Find the values of F

Catracho

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6 years ago Edited: 6 years ago, bio_man

Suppose F ( t ) has the derivative f ( t ) shown below, and F ( 0 ) = 1 . Find the values of F

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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bio_man

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6 years ago

I get the answers 1.5 and -3.5

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bio_man

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Quote from: Catracho (6 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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