At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve,
as requested.
-$y ^ { 5 } + x ^ { 3 } = y ^ { 2 } + 9 x$, tangent at $( 0,1 )$
A) $y = - \frac { 9 } { 7 } x$
B) $y = \frac { 9 } { 5 } x + 1$
C) $y = 3 x + 1$
D) $y = - \frac { 9 } { 5 } x - 1$

Question

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The Answer of At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve,
as requested.
-$y ^ { 5 } + x ^ { 3 } = y ^ { 2 } + 9 x$, tangent at $( 0,1 )$
A) $y = - \frac { 9 } { 7 } x$
B) $y = \frac { 9 } { 5 } x + 1$
C) $y = 3 x + 1$
D) $y = - \frac { 9 } { 5 } x - 1$

At the Given Point, Find the Slope of the Curve y5+x3=y2+9xy ^ { 5 } + x ^ { 3 } = y ^ { 2 } + 9 xy5+x3=y2+9x

At the Given Point, Find the Slope of the Curve $y ^ { 5 } + x ^ { 3 } = y ^ { 2 } + 9 x$