For a given function P = f(t), it is known that < 0 and > 0 dt2 dt Sketch a possible graph of the function P = f (t) for 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dP
d²P
For a given function P = f(t), it is known that
dt
< 0 and
> 0
dt2
Sketch a possible graph of the function P = f (t) for 0 <t < 5
Transcribed Image Text:dP d²P For a given function P = f(t), it is known that dt < 0 and > 0 dt2 Sketch a possible graph of the function P = f (t) for 0 <t < 5
Expert Solution
Step 1

Known fact:

The graph of the function y=fx is decreasing on the interval if dydx<0 for all x in I.

 

The graph of the function y=fx is concave upwards on if d2ydx2>0 for all in I.

 

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