Application of Derivatives
December 8, 2016y = f(x), point P(a,f(a)) Tangent equation: y – f(a) = f'(a) (x-a) Slope of normal: -${1}/{{dy}/{dx}}$ Formula of approximation:... View Article
Categories for 12th Maths
Continuity
December 8, 2016$\lim↙{x→0} {sinx}/{x} = 1$ $\lim↙{x→0} {tanx}/{x} = 1$ $\lim↙{x→0} cosx = 1$ $\lim↙{x→0} {a^x – 1}/{x} = log a$ $\lim↙{x→0}... View Article
Integration
December 8, 2016(1) $∫ x^n dx = {x^{n+1}}/{n + 1} + c$ (2) $∫ 1/x dx = log|x| + c$ (3) $∫a^x... View Article
Derivatives
December 8, 2016(1) $d/{dx} x^n = n x^{n-1}$ (2) $d/{dx}$ k (constant) = 0 (3) $d/{dx}$ sinx = cosx (4) $d/{dx}$ cosx... View Article
Trigonometric Functions
December 8, 2016sin2θ = 2 sinθ cosθ $cos2θ = cos^2 θ – sin^2 θ$ $cos2θ = 1 – 2 sin^2 θ$ $cos2θ... View Article