Que Se considera la función f(x)=- a. ¿Es f continua en x = 1? x²+1 six≤1 -x+3 six>1 b. Comprueba que no existe f’(1). c. ¿Existe la recta tangente a la función en P(1,f(1))? x²+1 six≤1 f(x)= -x+3 six>1
Que Se considera la función f(x)=- a. ¿Es f continua en x = 1? x²+1 six≤1 -x+3 six>1 b. Comprueba que no existe f’(1). c. ¿Existe la recta tangente a la función en P(1,f(1))? x²+1 six≤1 f(x)= -x+3 six>1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Given the function in the image provided answer the following:
A) Is the function continuous if x=1?
B) Show that f’(1) doesn’t exist
C) Is there a tangent line to the function at P(1,f(1)) ?
I will attach a photo of the whole exercise just so you can see what I mean by f’ and P is point
The

Transcribed Image Text:Que
Se considera la función f(x)=-
a. ¿Es f continua en x = 1?
x²+1 six≤1
-x+3 six>1
b. Comprueba que no existe f’(1).
c. ¿Existe la recta tangente a la función en P(1,f(1))?

Transcribed Image Text:x²+1 six≤1
f(x)=
-x+3
six>1
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