Quote:
Originally posted by Xantar
If you take the derivative of the parabola's function, you get dy/dx = 2x. You know that the line intersects at the point (1,3). In other words, where x = 1. Plugging that into the derivative function of the parabola, you get dy/dx = 2.
So now you know the slope of the line is 2 and it passes through the point (1,3). You know how to come up with the equation fo the line from here (I presume). If you want to do this on your own from here, don't read any further. Just check back here to verify your answer.
Are you gone yet? Ok, here goes.
The equation you should get is y = 2x + 1. So you know that the x-intercept is -1/2 and the y-intercept is 1. If you draw everything out on graph paper, you'll see that the base and height of the triangle are 1/2 unit long and 1 unit long respectively. So using the area of a triangle formula, you find that the area of the triangle is 1/2 x 1/2 x 1 or 1/4.
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Well the derivative is wrong..which would throw off your whole problem if done right
But the question is done incorrectly.. I myself can't do it.. but I know the answers and the steps.. just hoping someone could help explain it to me