Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) = 2x2 + 3x

Answer 1

Answer 2

Sope m = f'(x) = lim Δx→0 (f(x + Δx) - f(x))/Δx = lim Δx→0 [2(x + Δx)² + 3(x + Δx) - 2x² - 3x]/Δx =

lim Δx→0 (4xΔx + 2(Δx)² + 3Δx)/Δx = lim Δx→0 (4x + 2Δx + 3) = 4x + 3