Derivative Of Tangent X Sec X Tan X Longer Free Tutorial Get Education Bee
The derivative of the tangent function is the square of the secant function d/(dx)(f(u))=d/(dx)(tan(u))=sec^2(u)*(du)/(dx) As you get more experience, you'll simply write d/(dx)(tan(2x))=sec^2(2x)*2=2sec^2(2x) Finding d/(dx)(sec(2x)) The outside function is sec and the inside function (the u) is 2x The derivative of f(x)=secx is the function (singular),Find the first derivative of f(x) = tan x sec x Solution to Example 2 Let g(x) = tan x and h(x) = sec x, function f may be considered as the sum of functions g and h f(x) = g(x) h(x) Hence we use the sum rule, f '(x) = g '(x) h '(x), to differentiate function f as follows f '(x) = sec 2 x sec x tan x = sec x (sec x tan x) Example 3 Find the first derivative of f(x) = sin x / 1
