The tangent will have an equation in the form y = m x + c so to find the equation you need to find the values of m and c. First, find m, the gradient of the tangent.

Find the slope of the tangent line to the polar curve \ (r=2\) at the points where it intersects the polar curve \ (r=4\cos \theta\text {.}\) (Hint: After you find the intersection points, convert one ...

But there's a trick that uses calculus and the magic of dividing by zero. Instead of finding the tangent line, it's much easier to find the slope of a line that touches the curve at two points.

2. Consider a tangent of the curve \ (y=17-2x^2\) that goes through the point \ ( (3,1)\text {.}\) Provide a diagram of this situation. Can you draw two tangent lines? Find the slopes of those tangent ...