# GCSE Maths

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1. 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
2. to find the gradient of a curve at a given coordinate
• dif
• put x value into dy/dx equation
3. to find turning points of an equation
• dif
• dy/dx = 0
• solve to find x
• put x value into original equation to find y
4. to find out whether maximum or minimum
• dif dif
• put x value into dif dif
• if this > 0 minimum , < 0 maximum
5. 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
6. square root of a positive number
can be positive or negative
7. motion of a particle
• original equation = displacement or s in metres (M)
• dif = velocity in m/s
• dif dif = acceleration in m/s2
8. >
greater than
9. <
less than
10. double dash ones
• mean
• less than or equal to for double dash <
• more than or equal to for double dash>
11. with inequalities whenever you multiply or divide by a negative number
flip the inequality sign
12. x2 < 16
• x < 4
• x > -4
13. open circle means
not included in the solution