Search over 10,000 free study notes

A general method would be to compute a and b with the general solution formula for quadratic equations. However, a special property of quadratic equations can make this a...

Here it is necessary to use the chain rule to solve the derivative. If we equate our equation in terms of the following notation: ln(x)='u'and 2x^2='v' and use the chain rule formula dy/dx=udv/dx+vdu/dx w...

sin2x = 2sinxcosx cos2x = cos^2(x) - sin^2(x) tan2x = (2tanx)/(1-tan^2(x))

1. substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to...

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...