At the point

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

At the point (2,−1)(2,-1), a curve satisfies dydx=−4\displaystyle \frac{dy}{dx}=-4 and d2ydx2=6y−4x(dydx)(3y−4x)2.\frac{d^{2}y}{dx^{2}}=\frac{6y-4x\left(\frac{dy}{dx}\right)}{(3y-4x)^{2}}. Determine whether the curve is concave up or concave down at (2,−1)(2,-1).

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