1 straight line equation formula y y1 mx x1 2 perpendicular straight lines m1 x m2 1 3 logabc acb 4 log10x log10y log10xy 5 log10x log10y log10xy 6 klog10
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A Level Maths AQA
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1. Straight line equation formula y-y1 = m(x-x1)
2. Perpendicular straight lines m1 x m2 = -1
3. Log(a)b=c a^c=b
4. Log(10)x + Log(10)y = Log(10)xy
5. Log(10)x - Log(10)y = Log(10)x/y
6. kLog(10)x = Log(10)x^k
7. Displacement dy/dx = Velocity
8. Velocity dy/dx = Acceleration
9. Cos^2A + Sin^2A= 1
10. 1 + Tan^2A = Sec^2A
11. 1 + Cot^2A = Cosec^2A
12. 2SinAcosA = Sin2A
13. Cos^2A - Sin^2A = Cos2A
14. (2tanA)/(1-tan^2A) = Tan2A
15. A^x A^y = A^xy
16. A^x / A^y = A^x-y
17. (A^x)^y a^xy
18. Arc Length (radians) = r¸
19. Sector Area (radians) = 1/2 r^2 ¸
20. x^n dy/dx = nx^(n-1)
21. Sinkx dy/dx kCos
1
, A Level Maths AQA
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22. Coskx dy/dx = -kSinkx
23. e^(kx) dy/dx = ke^(kx)
24. lnx dy/dx = 1/x
25. f(x)+g(x) dy/dx = f'(x)+g'(x)
26. f(x)g(x) dy/dx = f'(x)g(x) + f(x)g'(x)
27. f(g(x)) dy/dx = f'(g(x))g'(x)
28. +x^n = (x^(n+1))/(n+1) +c
29. +Coskx = 1/k Sinkx +c
30. S+inkx = -1/k Coskx +c
31. +e^(kx) = 1/k e^(kx) +c
32. +1x/ = ln |x| +c
33. f+'(x)+g'(x) = f(x)+g(x) +c
34. +f'(g(x))g'(x) = f(g(x)) +c
35. Weight = Mass x g
36. Force = Mass x Acceleration
37. Midpoint of a line (X1+X2)/2 , (y1+y2)/2
38. Length of a straight line x2(-x1)^2+(y2-y1)^2
39. Gradient of a line Change in y/Change in x
40. Equation of a circle (x-a)^2 + (y-b)^2 = r^2 ,
Centre (a,b) & Radius is r
41. Area of a 1/2 base x
2
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