Edexcel Core 3 Revision Notes

Differentiation

Chain rule:

• You can use the chain rule to differentiate the function of a function
• If y = [F(x)]^n then Dy/Dx = n[F(x)]^n-1F'(x)
• If y = F[g(x)] then Dy/Dx = F'[g(x)]g'(x)
• Example: If Y=(3x^4+x)^5 then Dy/Dx = 5(3x^4+x)^4(12x^3+1)

Product Rule:

• You can use the product rule when two functions u(x) and v(x…