- #1
chung963
- 3
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Find d^2y/dx^2 when dy/dx = (3x^2 - 24x - 45) ÷ 2y
i tried by (6x-24) ÷ 2y. Unsure what to do about the y on the denominator.
i tried by (6x-24) ÷ 2y. Unsure what to do about the y on the denominator.
The formula for finding the double derivative of a quotient is (f''(x)g(x) - 2f'(x)g'(x) + f(x)g''(x)) / (g(x))^3.
The double derivative of a quotient is used when you need to find the rate of change of the rate of change of a quotient function.
Yes, the double derivative of a quotient can be simplified by expanding the numerator and denominator and then canceling out any common factors.
The double derivative of a quotient tells us about the concavity and inflection points of the original function.
Yes, the double derivative of a quotient can be represented graphically as the curvature of the graph of the original function. A positive double derivative indicates a concave-up curve, while a negative double derivative indicates a concave-down curve.