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f(x) = if -1 < x < 1 if x ≥ 1 -12 (a) To determine whether f is differentiable at x = -1, we compute ƒ(−1+ h) − f(−1) h lim h→0+ 38x -8x - 16 lim h→0- = ƒ(−1 + h) − ƒ(−1) h lim h→0+ lim lim h→0- (b) To determine whether f is differentiable at x = 0, we compute f(h)-f(0) lim

f(x) = if -1 < x < 1 if x ≥ 1 -12 (a) To determine whether f is differentiable at x = -1, we compute ƒ(−1+ h) − f(−1) h lim h→0+ 38x -8x - 16 lim h→0- = ƒ(−1 + h) − ƒ(−1) h lim h→0+ lim lim h→0- (b) To determine whether f is differentiable at x = 0, we compute f(h)-f(0) lim

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Need the solutions for (a),(b), and (c) please
f(x) = lim h→0+ if x ≥ 1 -12 (a) To determine whether f is differentiable at x = -1, we compute ƒ(−1 + h) − ƒ(−1) h lim h→0- lim h→0 x² + 1x2 38x -8x - 16 f(h)-f(0) h lim h→0+ = lim h→0- f(−1+ h) – f(−1) - (b) To determine whether f is differentiable at x = 0, we compute if x < -1 if -1 < x < 1 = lim h→0 (c) To determine whether f is differentiable at x = 1, we compute f(1+h)-f(1) f(1+h)-f(1) h lim h→0+ lim h→0- = lim h→0+ = lim h→0-
Transcribed Image Text:f(x) = lim h→0+ if x ≥ 1 -12 (a) To determine whether f is differentiable at x = -1, we compute ƒ(−1 + h) − ƒ(−1) h lim h→0- lim h→0 x² + 1x2 38x -8x - 16 f(h)-f(0) h lim h→0+ = lim h→0- f(−1+ h) – f(−1) - (b) To determine whether f is differentiable at x = 0, we compute if x < -1 if -1 < x < 1 = lim h→0 (c) To determine whether f is differentiable at x = 1, we compute f(1+h)-f(1) f(1+h)-f(1) h lim h→0+ lim h→0- = lim h→0+ = lim h→0-
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