Find d²y/dx² if y = x tan x. A) 2x tan x sec x B) x sec x C) 2 sec ² x + 2x tan x sec ² x D) sec x E) -2x tan x sec x

Question

Quizplus · Accepted Answer

We can use the product rule to solve the derivative of y = x tan x: dy/dx = x(secx)^2 + tan x Now we can substitute y into the derivative of d²y/dx²: d²y/dx² = 2(secx)^2 + x(secx)^2 + tanx Simplifying it gives us: 2secx^2 + xsecx^2 + tanx(secx)^2, which is equivalent to choice C.

Find D2y/dx2 If Y = X Tan X

Find D²y/dx² If Y = X Tan X