What is a 'derivative'?

If we have a function f(x), taking its derivative would obtain a new function f'(x). However, now this second function f'(x) defines the tangent along any point on the original graph of f(x). This is useful for an astonishing amount of areas of mathematics, and it is important you know some of them to fully comprehend why it is we study differential equations/derivatives.

AP

Related Maths A Level answers

All answers ▸

x = 1 is a solution for the curve y = x^3-6x^2+11x-6, find the other solutions and sketch the curve, showing the location of any stationary points.


A circle has eqn x^2 + y^2 + 2x - 6y - 40 = 0. Rewrite in the form (x-a)^2 + (y-b)^2 = d.


Find the value of the discriminant of x2 + 6x + 11


The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.