the quotient rule is used to differentiate fractions if y=u/v then dy/dx=( equation of a line y-y1=m(x-x1)

Laws of indices for powers of the same base -a^m x a^n = a^m+n -a^m / a^n = a^m-n -(a^m)^n = a^mn -(ab)^n = a^n b^n Laws of indices for any rational power -a^1/m = m √a -a^n/m = m √a^n -a^-m = 1/a^m

Differentiate tan(kx) ksec^2(kx) Differentiate cos(kx) -ksin(kx) Differentiate sin(kx) kcos(kx) Arithmetic sequence Un = a + (n - 1)d

area of sector (where θ is in radians) ½r²θ angles in 3D vectors cosθₓ =x/|a| cosθᵧ =y/|a| cosθ₂ =z/|a| this is where vector a makes an angle θ with the x/y/z axis (because x/y/z would be the adjacent and a the hypotenuse) 0:15 Full screen Expanding (a + bx)ⁿ (a + bx)ⁿ = aⁿ(1 + (b/a)x)ⁿ cosine rule a² = b² +c² -2bc cosA

1 + tan2θ = sec2θ cot2θ + 1 = cosec2θ = cosec2θ Sin2θ 2sinθcosθ Cos2θ cos²θ-sin²θ 2cos²θ-1 1-2sin²θ Tan2θ 2tanθ / (1 - tan²θ)

1 + tan2θ = sec2θ cot2θ + 1 = cosec2θ = cosec2θ Sin2θ 2sinθcosθ Cos2θ cos²θ-sin²θ 2cos²θ-1 1-2sin²θ Tan2θ 2tanθ / (1 - tan²θ)

Equation of a straight line y - y₁ = m(x - x₁) Distance between two points d = √(x₂ - x₁)² + (y₂ - y₁)² Integration by substitution ∫f(x) = ∫f(x) × (dx÷du)

1 + tan2θ = sec2θ cot2θ + 1 = cosec2θ = cosec2θ Sin2θ 2sinθcosθ Cos2θ cos²θ-sin²θ 2cos²θ-1 1-2sin²θ

Equation of a straight line y - y₁ = m(x - x₁) Distance between two points d = √(x₂ - x₁)² + (y₂ - y₁)² Integration by substitution ∫f(x) = ∫f(x) × (dx÷du)

area of sector (where θ is in radians) ½r²θ angles in 3D vectors cosθₓ =x/|a| cosθᵧ =y/|a| cosθ₂ =z/|a| this is where vector a makes an angle θ with the x/y/z axis (because x/y/z would be the adjacent and a the hypotenuse) Brainpower Read More Expanding (a + bx)ⁿ (a + bx)ⁿ = aⁿ(1 + (b/a)x)ⁿ cosine rule a² = b² +c² -2bc cosA