Application of Derivatives

Getting Head around Derivatives

Derivative of trigonometric function sinx and cosx

DERIVATIVE OF 'sinx'Let y=sinx…….iThen,Now,       Subtracting i from ii we get,By the first principle,DERIVATIVE OF 'cosx'Let y=cosx……. iThen,Now,       Subtracting i from ii we get,By the first pr...

Derivative of trigonometric function tanx and cotx

DERIVATE OF tanxLet y=tanx……. iThen,Now,       Subtracting i from ii we get,By the first principle,DERIVATE OF cotxLet y=cotx……. iThen,Now,       Subtracting i from ii we get,By the first principle,

Derivative of trigonometric function Cosecx and secx

DERIVATE OF 'cosecx'Let y=cosecx……. iThen,Now,       Subtracting i from ii we get,By the first principle,DERIVATE OF 'secx'Let y=secx……. iThen,Now,       Subtracting i from ii we get,By the first p...

Increasing and Decreasing function

Increasing Function:A function y=f(x) is said to be increasing function in the interval (a, b) if for every x1, x2 ∈ (a, b) x2 > x1 => f(x2 ) > f(x1)Slope of tangent at any point of su...