What is the 'chain rule'?
The chain rule is incredibly useful when differentiating compositions of funcions.
Until now you have really only met dy/dx as your derivative. By imagining dy/dx as a fraction, you can transform it into something using another parameter, for example t.
For example, just how 1/2 x 2/3 = 2/6 (multiply numerater, multiply denominator), dy/dx x dt/dy = dydt/dxdy, and the 'dy' values would cancel, giving dt/dx. This is only for this level of mathematics however, as in reality, you can't treat dy/dx as a fraction!
JA
Related Maths A Level answers
All answers ▸Show the sum from n=0 to 200 of x^n given that x is not 1, is (1-x^201)/(1-x) hence find the sum of 1+2(1/2)+3(1/2)^2+...+200(1/2)^199
Prove that 2cot2x+tanx=cotx
What is the probability to obtain exactly 2 heads out of 3 tosses of a fair coin?
How would you solve (2x+16)/(x+6)(x+7) in partial fractions?