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That technique for calculating derivatives only works for polynomial terms, that is terms of the form x^n, where n is some number. Here though our variable x is in the exponent, and so the term is not polyno...

Rule: An equation must be balanced. Therefore, in order to keep the equation balances, what you do to one side you must do to the other side. Change of subject questions require you to isolate the required l...

This is an example of the chain rule. The chain rule is the following: if y = uv, then dy/dx = udv/dx + vdu/dx So in this case, u = ( 4x + 1)^3, v = sin(2x) du/dx = (3)(4)( 4x + 1 )^2, dv/dx = 2cos(2x) dy/dx...

∫x 2 ln(4x)dx Firstly , identify this question as integration by parts. Therefore set one half as value 'u' and one as value 'dv'. Here we will set u = ln(4x). Therefore: du/dx = 1/4x . (4) du = 1/x dx We th...

There are two methods for solving simultaneous equations, the algebraic method or graphic method. While using graphs is a useful visual way to solve simultaneous equations, this is more time consuming and sh...