turkey-yks 2016 Q43

turkey-yks · Other · lys1-math Implicit equations and differentiation Compute slope at a point via implicit differentiation (single-step)

In the rectangular coordinate plane
$$y ^ { 2 } + \sin \left( x ^ { 2 } - 1 \right) = 4$$
What is the slope of the tangent line to the curve given by this equation at the point $\mathbf { P } ( - \mathbf { 1 } , - \mathbf { 2 } )$?
A) - 1
B) $\frac { 1 } { 2 }$
C) 2
D) $\frac { - 1 } { 2 }$

In the rectangular coordinate plane

$$y ^ { 2 } + \sin \left( x ^ { 2 } - 1 \right) = 4$$

What is the slope of the tangent line to the curve given by this equation at the point $\mathbf { P } ( - \mathbf { 1 } , - \mathbf { 2 } )$?\\
A) - 1\\
B) $\frac { 1 } { 2 }$\\
C) 2\\
D) $\frac { - 1 } { 2 }$

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