Find the equation of the line having a negative slope, that passes through the point (2,-3), and is tangent to the curve y = x^2 + x dy/dx = 2x^2 +1 Can someone point me in the right direction?
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The equation of a line of slope passing through is Therefore, we seek a tangent line of of the form that passes through . Here, we have used the fact that Edit: Changed index to for clarity.
Last edited by Scott H; Dec 8th 2009 at 05:08 PM.
Originally Posted by millerst Find the equation of the line having a negative slope, that passes through the point (2,-3), and is tangent to the curve y = x^2 + x dy/dx = 2x^2 +1 Can someone point me in the right direction? correction ... solve for and choose the value of x that meets the given requirements. I leave finding the tangent line equation to you.
Is the answer: y = -x - 1?
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