Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Differentiate algebraic and trigonometric equations, rate of change, stationary points, nature, curve sketching, and equation of tangent in Higher Maths.

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 ...

5. Find an equation of the tangent line to the curve \ (x=t-t^ {-1}\text {,}\) \ (y=1+t^2\) at \ (t=1\text {.}\) ...

The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c.

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.