On the ellipse

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

Problem

On the ellipse 9x2+16y2=1449x^{2}+16y^{2}=144, the slope of the tangent is −1-1 at which of the following points? (a) (95,165)\left(\dfrac{9}{5},\dfrac{16}{5}\right) and (−95,−165)\left(-\dfrac{9}{5},-\dfrac{16}{5}\right) (b) (165,95)\left(\dfrac{16}{5},\dfrac{9}{5}\right) and (−165,−95)\left(-\dfrac{16}{5},-\dfrac{9}{5}\right) (c) (0,4)(0,4) and (0,−4)(0,-4) (d) (165,−95)\left(\dfrac{16}{5},-\dfrac{9}{5}\right) and (−165,95)\left(-\dfrac{16}{5},\dfrac{9}{5}\right)

Related theory

Browse the problem library