Advanced Higher Maths General Revision

n! (a)  

• dy/dt x dt/dx
• 1/a tan^-1(x/a)
• S_n= n/2 [2a + (n-1)d]
• n(n-1)(n-2)...3x2x1

The binomial coefficient (n r) (a)  

• 1/tan x
• n(n-1)(n-2)...3x2x1
• u'v + uv'
• n! / r!(n-r!)

Binomial theorem (a)  

• 1/sin x
• a(1-r^n) / (1-r)
• (ax+b)^n+1/a(n+1)
• x^(n-r) y^r

Tags

CCSS.HSA.APR.C.5

sec x (a)  

• 1/root (1-x^2)
• 1/cos x
• intergral(pi*y^2)
• S_n= n/2 [2a + (n-1)d]

Tags

CCSS.HSF.TF.C.8

cosec x (a)  

• sin^-1 x
• u_n= ar^(n-1)
• 1/sin x
• 1/tan x

Tags

CCSS.HSF.TF.C.8

cot x (a)  

• 1/tan x
• n! / r!(n-r!)
• -asin(ax+b)
• -1/a cos (ax+b)

Tags

CCSS.HSF.TF.C.9

dy/dx x^n (a)  

• ae^(ax+b)
• z= x + iy
• a(1-r^n) / (1-r)
• nx^(n-1)

Tags

CCSS.HSF-IF.C.8B

dy/dx sin(ax+b) (a)  

• acos(ax+b)
• x^(n-r) y^r
• ln|f(x)|
• nx^(n-1)

dy/dx cos(ax+b) (a)  

• tan^-1 x
• -asin(ax+b)
• uv - (integral of u'v)
• z = x - iy

dy/dx tan(ax+b) (a)  

• u'v + uv'
• 1/sin x
• nx^(n-1)
• axec^2(ax+b)