mat1261 - 01 business calculus i (summer 2025 s4)\ntest: final exam\n< 3 of 25 >\nthis test: 25 point(s)…

mat1261 - 01 business calculus i (summer 2025 s4)\ntest: final exam\n< 3 of 25 >\nthis test: 25 point(s) possible\nthis question: 1 point(s) possible\nquestion list\nfind $\frac{dy}{dx}$.\ny = 7x^{-7}\n$\frac{dy}{dx}=square$

mat1261 - 01 business calculus i (summer 2025 s4)\ntest: final exam\n< 3 of 25 >\nthis test: 25 point(s) possible\nthis question: 1 point(s) possible\nquestion list\nfind $\frac{dy}{dx}$.\ny = 7x^{-7}\n$\frac{dy}{dx}=square$

Answer

Answer:

-49x^{-8}

Explanation:

Step1: Apply power rule

$\frac{dy}{dx}=7\cdot(-7)x^{-7-1}$

Step2: Simplify

$\frac{dy}{dx}=-49x^{-8}$