A) If f(x) = 7 cos2(x), compute its differential df. df = −7sin(2x)(dx) Approximate the change in f when x changes from x = π/6 to x = π/6+ 0.1.(Round your answer to three decimal places.) Δf ≈ _____ Approximate the relative change in f as x undergoes this change. (Round your answer to three decimal places.) _____ B) If f(x) = x3 − 6×2 − 8, compute its differential df. df = ______ Approximate the change in f when x changes from x = 2 to x = 2.1. Δf ≈ ______ Use this value of Δf to approximate f(2.1). f(2.1) ≈ _____
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