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))
A vertical line is perpendicular to the x-axis because they would intersect to form a 90 degree angle.
