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Q: What is the integral of the derivative with respect to x of the function f divided by the square root of the quantity a times f plus b with respect to x?

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Marginal cost - the derivative of the cost function with respect to quantity. Average cost - the cost function divided by quantity (q).

âˆ« f'(x)/f(x) dx = ln(f(x)) + C C is the constant of integration.

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3

âˆ« f(x)/(1 - f(x)) dx = -x + âˆ« 1/(1 - f(x)) dx

âˆ« [1/[f(x)(f(x) Â± g(x))]] dx = Â±âˆ«1/[f(x)g(x)] dx Â± (-1)âˆ« [1/[g(x)(f(x) Â± g(x))]] dx

-3 divided by x2

"Pi divided by 2" is a number, i.e. a constant. The derivative is the rate of change. The derivative of any constant is zero, because a constant never changes.

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