9) True or False. Circle True only if the statement is ALWAYS true. (a) True False f(x)g(x)] = f'(x)g (x) (explain why if false): (b) True False (explain why if false): (c) True False (explain why if false): (d) True False (explain why if false): (e) True False (explain why if false): If y = 3, then y'= 3e = ( 96² ) = m(x)g'(x)-g(x)-x'(x) dr If lim h(x) = x, then x = 4 is a vertical asymptote of the graph of . If f is continuous at a, then f is differentiable at a (f) True False (Hint: Squeeze theorem) If f(1) ≤ g(1) ≤ h(1) for all z and lim f(x) = lim g(x)=0 then lim h(1) = 0. 20

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A:

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A: Step 1:Step 2:Step 3: Step 4:

Q: et f and g denote differentiable functions. If f'(x) = g (x), then f(x) = g(x).

A:

Q: represents

A: False

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A:

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A: Answer

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A: Using first derivative test.

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A:

Q: Suppose f and g are one-to-one functions such that f(2) = 7, f(4) = 2, and g(2) = 5. Find the value,…

A: We have given functions f and g are one-to-one. Then, a. gof-17=gf-17=g2=5 b. fog-15=fg-15=f2=7

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A: Step 1:On the interval where f"x<0   the function  should be concave down   and  on  the…

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A:

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A:

Q: Please check 4-5.

A: Given function is   1.  g(x)=8x3+84x2+288x     then   g'(x)=24x2+168x+2882.  g''(x)=48x+1683.…

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A: Here we have to find the derivative by using power rule and the properties of the derivative.

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A: To identify the function fx when f' and value of function fx at a point is known.

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A:

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A: