Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the derivative lim h-0 Substitute and evaluate: f(t + h) = Simplify f(t+h)-f(t) = 0 In the context of the limit, simplify the difference quotient are no longer dividing by 0. lim h-+0 Evaluate the limit and enter your final answer. df dt f(t+h)-f(t) to find h f(t+h)-f(t) h dt to the point where you could evaluate the limit algebraically, l.e. until you

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
icon
Related questions
Question
Let f(t) be the function 2t² + 1t+5.
Follow the steps below to use the formal definition of the derivative lim
h-0
Substitute and evaluate: f(t + h) =
Simplify f(t+h)-f(t) = 0
In the context of the limit, simplify the difference quotient
are no longer dividing by 0.
lim
h-+0
Evaluate the limit and enter your final answer.
B
df
dt
C
M
f(t+h)-f(t)
h
5
f(t+h)-f(t)
h
511
to find
y
#f
to the point where you could evaluate the limit algebraically, l.e. until you
Nov 23
5:00
Transcribed Image Text:Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the derivative lim h-0 Substitute and evaluate: f(t + h) = Simplify f(t+h)-f(t) = 0 In the context of the limit, simplify the difference quotient are no longer dividing by 0. lim h-+0 Evaluate the limit and enter your final answer. B df dt C M f(t+h)-f(t) h 5 f(t+h)-f(t) h 511 to find y #f to the point where you could evaluate the limit algebraically, l.e. until you Nov 23 5:00
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,