Solve for y
y=-5\left(x+3\right)^{2}-2
Solve for x (complex solution)
x=-\frac{\sqrt{-5y-10}}{5}-3
x=\frac{\sqrt{-5y-10}}{5}-3
Solve for x
x=-\frac{\sqrt{-5y-10}}{5}-3
x=\frac{\sqrt{-5y-10}}{5}-3\text{, }y\leq -2
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y=-5\left(x^{2}+6x+9\right)-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
y=-5x^{2}-30x-45-2
Use the distributive property to multiply -5 by x^{2}+6x+9.
y=-5x^{2}-30x-47
Subtract 2 from -45 to get -47.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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