Mathematics

This is a quotient rule problem, but the numerator itself is a product—so you'll need to combine the quotient rule with the product rule. The key insight is to first find the derivative of the numerator $x^2 \tan x$ using the product rule (remembering that $\tan x$ has derivative $\sec^2 x$), then apply the quotient rule formula. Organize carefully to avoid algebra mistakes.

This is a quotient rule problem, but the numerator itself is a product—so you'll need to combine the quotient rule with the product rule. The key insight is to first find the derivative of the numerator $x^2 \tan x$ using the product rule (remembering that $\tan x$ has derivative $\sec^2 x$), then apply the quotient rule formula. Organize carefully to avoid algebra mistakes.