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Which one of the following statements is true? (5 points)


If f and g are differentiable, then the derivative with respect to x of the product of f of x and g of x equals the product of f prime of x and g prime of x .


the derivative with respect to x of the absolute value of the quantity x squared plus x equals the absolute value of the quantity 2 times x plus 1


If f and g are differentiable, then the derivative with respect to x of the square root of f of x equals the quotient of f of x and 2 times the square root of f prime of x .


None of these statements are true.

Which one of the following statements is true 5 pointsIf f and g are differentiable then the derivative with respect to x of the product of f of x and g of x eq class=

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sqdancefan

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))

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Answer:

None of the statments are true

Step-by-step explanation:

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