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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 som...
JA
Answered by James A. Maths tutor
5114 Views

How do I draw a straight line graph given a y=mx+c equation by the table method?

The y=mx+c equation is for a straight line (also known as 'linear') graph. The ' y' is representative of the y-value, 'm' represents the gradient (how steep the graph is) and 'c' represents the y-intercept (...
NC
Answered by Neha C. Maths tutor
15248 Views

How do I solve a quadratic equation by completing the square?

The first step is to make sure that the coefficient of x^2 is 1 by dividing all terms by a (where a equals the coefficient of x^2). Then we must write the quadratic equation as a square plus another term. To...
GJ
Answered by Gina J. Maths tutor
4913 Views

How do you take the derivative of a^x ?

There are two ways you can take the derivative of a^x. 1) Let y = a^x now we're trying to find dy/dx 2) ln(y) = xln(a) take logs of both sides and use log rules 3) (dy/dx)*(1/y) = ln(a) take the derivative o...
SG
Answered by Sam G. Maths tutor
7031 Views

What is the best way to prove trig identities?

In my experience the sure fire way to prove trig identities is by doing the following: 1) Assess the question e.g. is it obvious you're going to need a double angle or addition formula, can you see where cos...
SG
Answered by Sam G. Maths tutor
6029 Views