Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Mathematics
Mathematics
Problem Find g ′ ( x ) g'(x) g ′ ( x ) g ( x ) = ( x 2 sin x ) e tan x g(x)=\bigl(x^{2}\sin x\bigr)\,e^{\tan x} g ( x ) = ( x 2 sin x ) e t a n x ( 2 x sin x + x 2 cos x + x 2 sin x ) e tan x (2x\sin x + x^{2}\cos x + x^{2}\sin x)\,e^{\tan x} ( 2 x sin x + x 2 cos x + x 2 sin x ) e t a n x ( 2 x sin x + x 2 cos x ) e tan x + x 2 sin x e tan x sec 2 x (2x\sin x + x^{2}\cos x)e^{\tan x} + x^{2}\sin x\,e^{\tan x}\sec^{2}x ( 2 x sin x + x 2 cos x ) e t a n x + x 2 sin x e t a n x sec 2 x ( 2 x sin x + x 2 cos x ) e tan x + x 2 sin x e tan x sec x (2x\sin x + x^{2}\cos x)e^{\tan x} + x^{2}\sin x\,e^{\tan x}\sec x ( 2 x sin x + x 2 cos x ) e t a n x + x 2 sin x e t a n x sec x ( 2 x sin x + x 2 cos x ) e tan x − x 2 sin x e tan x sec 2 x (2x\sin x + x^{2}\cos x)e^{\tan x} - x^{2}\sin x\,e^{\tan x}\sec^{2}x ( 2 x sin x + x 2 cos x ) e t a n x − x 2 sin x e t a n x sec 2 x Browse the problem library