How do I differentiate?

Differentiation is a relatively easy process once you learn the basic method. The basic rule is, you multiply the coefficient of x by the exponent, which becomes the new coefficient, and then reduce the exponent by 1.

For example; differentiate 4x3

To get the new coefficient you times to old coefficient and exmponent together, in this case 4 x 3 = 12.

To get the new exponent, you reduce the old exponent by 1. So the new exponent is 3-1 = 2.

Therfore, the differntial of 4x3  is  12x2.

AB

Related Maths GCSE answers

All answers ▸

I toss a fair coin until I get two head in a row. What is the probability that I toss the coin 5 times in total?


Write 0.2(54) as a fraction in its simplest form. (Where 0.2(54) = 0.254545454...)


Solve the simultaneous equations “x^2+y^2=4” and “x=2-y”. What does this tell us about the circle centred on the origin, with radius 2, and the straight line with y-intercept 2 and gradient -1?


Show that the lines y-5x=2 and 6y-30x=36 are parallel