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4 (a) Evaluate lim,-1 (4-) (b) Let f (x) = a² – x³. Find the value(s) of x if the second derivative f" (x) equals (c) For what value(s) of x does the graph f(x) = r³ – x² +3 have a horizontal tangent. (d) Differentiate the implicit function below y3 + y = 2x² + 4

4 (a) Evaluate lim,-1 (4-) (b) Let f (x) = a² – x³. Find the value(s) of x if the second derivative f" (x) equals (c) For what value(s) of x does the graph f(x) = r³ – x² +3 have a horizontal tangent. (d) Differentiate the implicit function below y3 + y = 2x² + 4

Advanced Engineering Mathematics
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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please answer 4a up to d 

4 (a) Evaluate limp→1 (금-교) (b) Let f (x) = x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of x does the graph f(x) = r³ – x² +3 have a horizontal tangent. (d) Differentiate the implicit function below y3 + y = 2x² + 4
Transcribed Image Text:4 (a) Evaluate limp→1 (금-교) (b) Let f (x) = x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of x does the graph f(x) = r³ – x² +3 have a horizontal tangent. (d) Differentiate the implicit function below y3 + y = 2x² + 4
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