Explanation:
Any function that has a derivative that changes sign will have an extreme value (maximum or minimum). If the derivative never changes sign, the function will not have any extreme values.
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Logarithmic, exponential, and certain trigonometric, hyperbolic, and rational functions are monotonic, having a derivative that does not change sign. Odd-degree polynomials may also have this characteristic, though not necessarily. These functions will not have maximum or minimum values.
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Certain other trigonometric, hyperbolic, and rational functions, as well as any even-degree polynomial function will have extreme values (maximum or minimum). Some of those extremes may be local, and some may be global. In the case of trig functions, they may be periodic.
Composite functions involving ones with extreme values may also have extreme values.
Answer:
x = 15
Step-by-step explanation:
Interior angles and their exterior angles make a supplementary angle meaning they have a sum of 180°. Knowing this, we can make an equation to solve for x.
x + 165 = 180
x = 15
Answer:
5 hours 20 minutes
Step-by-step explanation:
Distance traveled to be 20 miles apart
180 - 20 = 160 miles
Combined speed
14 + 16 = 30 mph
time = distance / speed
t = 160/30
t = 5 1/3 hours
t = 5 hours 20 minutes
By drawing the hypotenuse of the shape.
Answer:
2t-7
Step-by-step explanation: