Mathematics

Mathematics

Problem

The answers are in Chapter 24. 5. Find d2ydx2\frac{d^{2} y}{d x^{2}} if y=y3−x2y=y^{3}-x^{2}. (A) (3y2−1)2(2)−(24x2y)(3y2−1)3\frac{\left(3 y^{2}-1\right)^{2}(2)-\left(24 x^{2} y\right)}{\left(3 y^{2}-1\right)^{3}} (B) (3y2−1)(2)−(24x2y)(3y2−1)2\frac{\left(3 y^{2}-1\right)(2)-\left(24 x^{2} y\right)}{\left(3 y^{2}-1\right)^{2}} (C) (3y2−1)(2)−(12x2)(3y2−1)3\frac{\left(3 y^{2}-1\right)(2)-\left(12 x^{2}\right)}{\left(3 y^{2}-1\right)^{3}} (D) (3y2−1)2(2)−(12x2)(3y2−1)3\frac{\left(3 y^{2}-1\right)^{2}(2)-\left(12 x^{2}\right)}{\left(3 y^{2}-1\right)^{3}} (A) (3y2−1)2(2)−(24x2y)(3y2−1)3\frac{\left(3 y^{2}-1\right)^{2}(2)-\left(24 x^{2} y\right)}{\left(3 y^{2}-1\right)^{3}} (B) (3y2−1)(2)−(24x2y)(3y2−1)2\frac{\left(3 y^{2}-1\right)(2)-\left(24 x^{2} y\right)}{\left(3 y^{2}-1\right)^{2}} (C) (3y2−1)(2)−(12x2)(3y2−1)3\frac{\left(3 y^{2}-1\right)(2)-\left(12 x^{2}\right)}{\left(3 y^{2}-1\right)^{3}} (D) (3y2−1)2(2)−(12x2)(3y2−1)3\frac{\left(3 y^{2}-1\right)^{2}(2)-\left(12 x^{2}\right)}{\left(3 y^{2}-1\right)^{3}}

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