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 ...

To construct the tangent to a curve at a certain point A, you draw a line that follows the general direction of the curve at that point. An example of this can be seen below.

Geometrically, the derivative measures the slope of the line tangent to the curve at the point. Note that we can't calculate this without a limit--drawing a line takes two points, but if we take a ...

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