Why does differentiation work like it does.
Differentiation is about the tangent at a point, from GCSE we have a formula to work out the gradient between two points, in other words, the gradient of the tangent. This means that as the two points get inifnitesimally close together, this gradient approaches the gradient of the tangent at that point. This would be more intuitive if shown on paper.
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Related Maths A Level answers
All answers ▸Complete the square for the following equation: 2x^2+6x-3=0
Find the equation of the tangent to: y = X^2 + 3x + 2 at the point (2,12)
2 equations intersect each other, y = x + 2 and y = x^2. Find the area of the shaded region between the points of intersection giving your answer to 3 significant figures. (shaded region will be shown)
5Sin[x]-4=2Cos[2x]