Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Mathematics
Mathematics
Problem If y = ( tan x ) x 2 y=(\tan x)^{x^{2}} y = ( tan x ) x 2 d y d x \dfrac{dy}{dx} d x d y ( tan x ) x 2 ( 2 x ln ( tan x ) + x 2 sec 2 x ) (\tan x)^{x^{2}}\left(2x\ln(\tan x)+x^{2}\sec^{2}x\right) ( tan x ) x 2 ( 2 x ln ( tan x ) + x 2 sec 2 x ) ( tan x ) x 2 ( 2 x ln ( tan x ) + x 2 sec 2 x tan x ) (\tan x)^{x^{2}}\left(2x\ln(\tan x)+x^{2}\dfrac{\sec^{2}x}{\tan x}\right) ( tan x ) x 2 ( 2 x ln ( tan x ) + x 2 tan x sec 2 x ) ( tan x ) x 2 ( x 2 sec 2 x tan x ) (\tan x)^{x^{2}}\left(x^{2}\dfrac{\sec^{2}x}{\tan x}\right) ( tan x ) x 2 ( x 2 tan x sec 2 x ) ( tan x ) x 2 ( 2 x ln ( tan x ) + x 2 cot x ) (\tan x)^{x^{2}}\left(2x\ln(\tan x)+x^{2}\cot x\right) ( tan x ) x 2 ( 2 x ln ( tan x ) + x 2 cot x ) Browse the problem library