GCSE Maths

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what can dif be used for
- to find the gradient of a curve at a given coordinate
- motion of a particle
- turning points
- rate of change
- work out maximum and minimum problems
to find the gradient of a curve at a given coordinate
- dif
- put x value into dy/dx equation
to find turning points of an equation
- dif
- dy/dx = 0
- solve to find x
- put x value into original equation to find y
to find out whether maximum or minimum
- dif dif
- put x value into dif dif
- if this > 0 minimum , < 0 maximum
find the maximum/minimum in problems
- dif
- dy/dx = 0 to find letter
- may need to put letter value back into the original equation to find area for eaxmple
square root of a positive number

can be positive or negative
motion of a particle
- original equation = displacement or s in metres (M)
- dif = velocity in m/s
- dif dif = acceleration in m/s2
>

greater than
<

less than
double dash ones
- mean
- less than or equal to for double dash <
- more than or equal to for double dash>
with inequalities whenever you multiply or divide by a negative number

flip the inequality sign
x2 < 16
- x < 4
- x > -4
open circle means

not included in the solution
shaded circle means

included in the solution
graphical inequalities method
- convert each inequality into an equation
- draw the graph for each equation (if the inequality is
- work out which side of each line you want by putting x = 0 into the inequality if it gives a false answer the origin is on the wrong side of the line
- shade the region this gives u

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GCSE Maths

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revision

Updated

2013-04-13T13:54:02Z