If , where , then is equal…

MATHEMATICS · Multi correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

If y+x+y−x=c\sqrt{y+x}+\sqrt{y-x}=c, where c≠0c\ne0, then dydx\frac{dy}{dx} is equal to (1) 2xc2\frac{2x}{c^2} (2) xy+y2−x2\frac{x}{y+\sqrt{y^2-x^2}} (3) y−y2−x2x\frac{y-\sqrt{y^2-x^2}}{x} (4) c22y\frac{c^2}{2y}

Related theory

Browse the problem library