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To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anyw...

A quadratic equation is one that contains an x^2 term that has a non 0 coefficient, There are three basic methods for solving a quadratic equation; factorising, completing the square, and the quadratic fo...

You would multiply both numerator and denominator by the expression (root3 +1)/(root3 +1). This expression is equal to 1 hence the original expression remains unchanged. The new expression is now (8(root...

The expansion of two brackets containing two terms each is a little more complicated than expanding say, x(3x+3). There is a process to follow for these questions. First, just look at the x term in the fi...

The chain rule is a type of differentiation used when you are differentiating a function of a function e.g. (2x+5)^3, or e.g.2. (x^2 + 5)^0.5.
Firstly you replace one function with u. You then diffe...