CalculusDerivative (in terms of x) ƒ(x) = axⁿ ƒ′(x) = na·x⁽ⁿ⁻¹⁾ AreaArea of a Circle A = πr² = Area of a Circle Sector A = πr² × (arc°/360) = Area of a Rectangle A = ℓ × w = Area of a Triangle A = (b × h) / 2 = Area of a Rhombus A = D × d = Area of a Trapezoid A = S × s / 2h = Area of a Regular Polygon A = (p × a) / 2 = Surface Area of a Sphere A = 4πr² = Total Surface Area of a Cone A = Base Area + Lateral Area = πr² + πrh = VolumeVolume of a Cube V = s³ = Volume of a Rectangular Solid V = ℓ × w × h = Volume of a Cylinder V = πr² × h = Volume of a Cone V = (πr² × h)/3 = Volume of a Sphere V = (4πr³)/3 = OtherEquation of a Circle ƒ′(x) = (x – h)² + (y – k)² = r², where circle center: (h,k) Circumference of a Circle C = 2πr = Length of a Circle Arc A = 2πr × (arc°/360) =