Comparing Functions In Exercises 69-74, use L’'Hopital’'s Rule to determine the comparative rates of increase of the functions
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- SLOPE OF TANGENT LINE: lim f(c+Ax)-f(c) f(x+Ax)-f(x) DERIVATIVE: lim Ax-0 Ax Δx-0 Ax ALTERNATIVE DERIVATIVE: lim f(x)-f(c) ズ→C X-C 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5 – x² AT (3, –4).arrow_forwardIf sales N(x) are expressed as a function of the amount a spent on advertising, then the dollar amount at which N' (x), the rate of change of sales, goes from increasing to decreasing is call the [Select] If d is that dollar amount, then (d, N(d)) is [Select] ✓ of N(x).arrow_forwardMymathlab homeowork for business calculus: use the definition of the derivative, lim h-->0 (f+h)-f(x)/h, to find the following: f'(x) if f(x) = -2x+7. f(x)=?arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage