Key points and important formulae for the Edexcel GCE Maths C1 module
|
Created by Daniel Cox
over 8 years ago
|
|
|
|
Copied by Daniel Cox
over 8 years ago
|
|
Close
|
|
Created by Daniel Cox
over 8 years ago
|
|
|
|
Copied by Daniel Cox
over 8 years ago
|
|
Formula for the gradient of a line joining two points
The midpoint of \( (x_1, y_1) \) and \( (x_2, y_2) \) is...
The quadratic equation formula for solving \[ax^2+bx+c=0\]
A line has gradient \(m\).
A line perpendicular to this will have a gradient of...
If we know the gradient of a line and a point on the line, a formula to work out the equation of the line is...
Formula for the distance between two points...
To find where two graphs intersect each other...
To simplify \( \frac{a}{\sqrt{b}} \)...
(a.k.a. 'rationalising the denominator')
To simplify \( \frac{a}{b+\sqrt{c}} \)...
(a.k.a. 'rationalising the denominator')
\[\left(\sqrt{m} \right)^{3}=... \]
\[\sqrt{a}\times \sqrt{b}=...\]
\[\frac{\sqrt{a}}{\sqrt{b}}=...\]
To find the gradient of a curve at any point, use...
Parallel lines have the same...
To find the gradient of the line \(ax+by+c=0\)...
Where is the vertex of the graph \[y=\left ( x+a \right )^2+b\]?
The discriminant of \(ax^2+bx+c\) is...
The discriminant of a quadratic equation tells us...
If a quadratic equation has two distinct real roots, what do we know about the discriminant?
If a quadratic equation has two equal roots, what do we know about the discriminant?
If a quadratic equation has no real roots, what do we know about the discriminant?
Here is the graph of \(y=x^2-8x+7\).
Use it to solve the quadratic inequality \(x^2-8x+7>0\)
If \(y=ax^n\),
then \(\frac{dy}{dx} =...\)
If \(y=ax^n\),
then \(\int y\; dx = ...\)
What effect will the transformation \(y=f(x)+a\) have on the graph of \(y=f(x)\)?
What effect will the transformation \(y=f(x+a)\) have on the graph of \(y=f(x)\)?
What effect will the transformation \(y=af(x)\) have on the graph of \(y=f(x)\)?
What effect will the transformation \(y=f(ax)\) have on the graph of \(y=f(x)\)?
If we differentiate \(y\) twice with respect to \(x\), what do we get?
What effect will the transformation \(y=f(-x)\) have on the graph of \(y=f(x)\)?
What effect will the transformation \(y=-f(x)\) have on the graph of \(y=f(x)\)?
\[\left ( \sqrt[n]{x} \right )^m=... ?\]
\[a^{-n}=...?\]
\[a^0=...?\]
\[x^{\frac{1}{n}}=...?\]
\[\left ( ab \right )^n=...?\]
What does the graph of \(y=\frac{1}{x}\) look like?
What does the graph of \(y=a^x\), where \(a>0\) look like?
What do the graphs \(y=x^3\) and \(y=-x^3\) look like?
What does \(\sum_{r=1}^{4}a_r\) mean?
Formula for the \(n\)th term of an arithmetic sequence...
[given in the formulae booklet]
Formula for the sum of the first \(n\) terms of an arithmetic sequence...
[given in the formulae booklet]
If we are given \(\frac{dy}{dx}\) or \(f'(x)\) and told to find \(y\) or \(f(x)\), we need to...
Integration is the reverse of ... ?
Differentiation is the reverse of ... ?
The rate of change of \(y\) with respect
to \(x\) is also called...?
The formula for finding the roots of \[ax^2+bx+c=0\]
\[a^m \div a^n = ... ?\]
\[\left (a^m \right )^n=...?\]
To simplify \( \frac{a}{b-\sqrt{c}} \)...
(a.k.a. 'rationalising the denominator')
