# Recent questions in Calculus - Mathematics

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Answers#### Parabola given by the function f(x) = x^2

Let (r, r^2) be an arbitrary point on the parabola f(x) = x^2. Show that the equation of the tangent line to the graph of f(x) at (r, r^2) is given by y = 2rx − r^2.

18/02/2016
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Answers#### Is there an easy formula to get the indefinite sum of x^n?

e.g. sum for 1 to n is n(n+1)/2. Another example, formula for integration where x^n becomes [1/(n+1)]x^(n+1).

29/12/2014