Answer:
None of these statements are true.
Step-by-step explanation:
a) The derivative of (fg)(x) is f'g +fg' according to the product rule for derivatives.
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b) The derivative of |x² +x| is a 3-part piecewise linear function equal to 2x+1 for |x+1/2| > 1/2, and equal to -2x-1 for |x+1/2| < 1/2. It is undefined for x=0 and x=1.
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c) for y = √f(x), y' = f'(x)/(2√f(x))
Answer:
Sea level is 0 meters. A cliff by the ocean is 12 meters above sea level. Around that area, the seafloor is 8 meters below sea level. How many meters is the top of the cliff to the seafloor?
How to solve:
8 below zero is -8
The expression 12 - (-8) is the same as the expression 12 + 8
12 + 8 = 20
20 meters
Answer:
Step-by-step explanation:
a) The y-coordinates of points A and B are both -2, so there is no change in the y-value between those points. The x-coordinates differ by 4, so the slope is ...
... slope = (change in y)/(change in x) = 0/4 = 0
b) The y-value is constant at -2 for any value of x, so the equation of the line is ...
... y = -2
Answer: None
Step-by-step explanation:
y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.
0≠-5
It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.
