csat-suneung 2011 Q27 (Calculus)

csat-suneung · South-Korea · csat__math-science 3 marks Implicit equations and differentiation Compute slope at a point via implicit differentiation (single-step)
On the coordinate plane, what is the slope of the tangent line to the curve $y ^ { 3 } = \ln \left( 5 - x ^ { 2 } \right) + x y + 4$ at the point $( 2,2 )$? [3 points]
(1) $- \frac { 3 } { 5 }$
(2) $- \frac { 1 } { 2 }$
(3) $- \frac { 2 } { 5 }$
(4) $- \frac { 3 } { 10 }$
(5) $- \frac { 1 } { 5 }$ 
On the coordinate plane, what is the slope of the tangent line to the curve $y ^ { 3 } = \ln \left( 5 - x ^ { 2 } \right) + x y + 4$ at the point $( 2,2 )$? [3 points]\\
(1) $- \frac { 3 } { 5 }$\\
(2) $- \frac { 1 } { 2 }$\\
(3) $- \frac { 2 } { 5 }$\\
(4) $- \frac { 3 } { 10 }$\\
(5) $- \frac { 1 } { 5 }$
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 (Calculus) Q26 (Discrete Mathematics) Q26 (Probability and Statistics) Q27 (Calculus) Q27 (Discrete Mathematics) Q27 (Probability and Statistics) Q28 (Calculus) Q28 (Probability and Statistics) Q29 (Calculus) Q29 (Probability and Statistics) Q30 (Calculus) Q30 (Probability and Statistics)