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3 years ago

6

Functions f(x) and g(x) are shown below:.

1 answer:

kobusy [5.1K]3 years ago

3 0

First we will find the derivative of each function and equate it to zero.
f` ( x ) = 6 x + 12
6 x + 12 = 0
6 x = - 12
x = - 2
f ( - 2 ) 0 12 - 24 + 16 = 4
f ( x ) min = 4
g` ( x ) = 4 cos ( 2 x - π )
4 cos ( 2 x - π ) = 0
cos ( 2 x - π ) = 0
2 x - π = 3π / 2
2 x = 5π /2
x = 5π/4
g ( 5π/4 ) = 2 sin ( 5π/2 - π ) + 4 = 2 ( sin 3π/2 ) + 4 = -2 + 4 = 2
g ( x ) min = 2 ( this is the smallest minimum value )

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3 years ago

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Rainbow [258]

Answer:

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2 years ago

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