A function y = f(x) and an x-value xo are given. f(x) = x + Vr; xo = 1 (a) Find a formula for the slope of the tangent line to the graph of f at a general point xp. (b) Use the formula obtained in part (a) to find the slope of the tangent line for the given value of xo. a1) (a) Find a formula for the slope of the tangent line to the graph of fat a general point xp. The slope of the tangent line to f(x) at. xo is given by Def 2.1.1: Suppose that xo is in the domain of the function f. The tangent line to the curve y = f(x) at the point P(xp, f(x)) is the line with f(x) – f(x) . equation y – f(x0) = man(x – xo) where muan = lim provided the limit exists. x- xo f(x) – f(x0). Rewriting man = lim using f(x) = x + Vĩ, we get х — Хо (x+ Vã) – xo + Vxo man lim- x - x0 (x + Vx) – (xo + V) Man = lim х — Хо
A function y = f(x) and an x-value xo are given. f(x) = x + Vr; xo = 1 (a) Find a formula for the slope of the tangent line to the graph of f at a general point xp. (b) Use the formula obtained in part (a) to find the slope of the tangent line for the given value of xo. a1) (a) Find a formula for the slope of the tangent line to the graph of fat a general point xp. The slope of the tangent line to f(x) at. xo is given by Def 2.1.1: Suppose that xo is in the domain of the function f. The tangent line to the curve y = f(x) at the point P(xp, f(x)) is the line with f(x) – f(x) . equation y – f(x0) = man(x – xo) where muan = lim provided the limit exists. x- xo f(x) – f(x0). Rewriting man = lim using f(x) = x + Vĩ, we get х — Хо (x+ Vã) – xo + Vxo man lim- x - x0 (x + Vx) – (xo + V) Man = lim х — Хо
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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