![Simplify the expression y = ([3]x - 2x)3 and find its derivative with respect to x.](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1777382493086-4cb1418eb2d77b61.png&w=3840&q=75)
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back Ni_Fe_Mi✨ — missed you this week. Step 1: Simplify the expression for y. First, simplify the term inside the cube root: x - 2x = -x. Then, substitute this back into the expression for y: y = ([3]-x)^3 The cube root and the cube power cancel each other out: y = -x Step 2: Differentiate y with respect to x. We need to find (dy)/(dx) for y = -x. Using the power rule for differentiation, (d)/(dx)(cx) = c: (dy)/(dx) = (d)/(dx)(-x) (dy)/(dx) = -1 The derivative is: -1 Send me the next one 📸