csat-suneung 2020 Q5

csat-suneung · South-Korea · csat__math-science 3 marks Implicit equations and differentiation Compute slope at a point via implicit differentiation (single-step)

What is the slope of the tangent line to the curve $x ^ { 2 } - 3 x y + y ^ { 2 } = x$ at the point $( 1,0 )$? [3 points]
(1) $\frac { 1 } { 12 }$
(2) $\frac { 1 } { 6 }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 1 } { 3 }$
(5) $\frac { 5 } { 12 }$

What is the slope of the tangent line to the curve $x ^ { 2 } - 3 x y + y ^ { 2 } = x$ at the point $( 1,0 )$? [3 points]\\
(1) $\frac { 1 } { 12 }$\\
(2) $\frac { 1 } { 6 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 1 } { 3 }$\\
(5) $\frac { 5 } { 12 }$

Paper Questions

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