Answer all the following questions. 1. Find the slopes of the tangent lines to the curve \( y=x^{2}-1 \) at the points where \( x=-2,-1,0,1,2 \)
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The derivative of \( x^{2} \) is \( 2x \) and the derivative of a constant is 0. So, the derivative of \( y=x^{2}-1 \) is \( y'=2x \). The slope of the tangent line to the curve at a certain point is given by the value of the derivative at that point. So, we Show more…
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