f(x)={x^2-8x+16, if x < or = 3 ax+b, if x > 3 find a and b such that the function f(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.)
f(x)={x^2-8x+16, if x < or = 3 ax+b, if x > 3 find a and b such that the function f(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 35E
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Let f(x)={x^2-8x+16, if x < or = 3 ax+b, if x > 3
find a and b such that the function f(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.)
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