For , what is the derivative of…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For x≠0x\neq 0, what is the derivative of f(x)=tan⁡xx2\displaystyle f(x)=\frac{\tan x}{x^{2}}? (a) sec⁡2xx2+2tan⁡xx3\displaystyle \frac{\sec^{2}x}{x^{2}}+\frac{2\tan x}{x^{3}} (b) sec⁡2xx2−2tan⁡xx3\displaystyle \frac{\sec^{2}x}{x^{2}}-\frac{2\tan x}{x^{3}} (c) sec⁡2xx2\displaystyle \frac{\sec^{2}x}{x^{2}} (d) sec⁡xx2−2tan⁡xx3\displaystyle \frac{\sec x}{x^{2}}-\frac{2\tan x}{x^{3}}

Related theory

Browse the problem library