Use the limit definition to find the slope of the tangent line to the graph of f at the given point.f(x) = 18x², (4,2)Step 1Apply the Definition of Tangent Line with slope m,f(c + Ax) = f(c)limAxm =Ax→ 0to the given function f(x) = 18 - x² and c = 4.At x = 4, f(4) = 2, the coordinates of (x, f(x)) are (4, 2).0Step 2Substitute c = 4 in the formula for slope as follows.m = limAx → 0X++ Ax)-f(CAx× )

Use the limit definition to find the slope of the tangent line to the graph off at the given point. f(x) = 18 - x², (4,2) Step 1 Apply the Definition of Tangent Line with slope m, lim f(c + Ax) = f(c) Ax m = Ax → 0 to the given function f(x) = 18 - x² and c = 4. At x = 4, f(4) = 2, the coordinates of (x, f(x)) are (4, 2). Step 2 Substitute c = 4 in the formula for slope as follows. + + Ax) − f ( [ Ax m = lim Δx – 0 × ]× ) X

Use the limit definition to find the slope of the tangent line to the graph off at the given point. f(x) = 18 - x², (4,2) Step 1 Apply the Definition of Tangent Line with slope m, lim f(c + Ax) = f(c) Ax m = Ax → 0 to the given function f(x) = 18 - x² and c = 4. At x = 4, f(4) = 2, the coordinates of (x, f(x)) are (4, 2). Step 2 Substitute c = 4 in the formula for slope as follows. + + Ax) − f ( [ Ax m = lim Δx – 0 × ]× ) X

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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