i need step 3 please

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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i need step 3 please

Find the critical numbers of the function.
h(t) = t3/4 – 4t/4
Step 1
For h(t) = t3/4 – 4t/4, we have
3Vi – 4
h'(t) =
4t
(t)
Step 2
Critical numbers occur where h'(t)
= 0 and where h'(t) is undefined.
3t/2 .
- 4
0 = h'(t) = t-3/4(3t/2 – 4)
4
when the numerator is 0, which occurs at the following values. (Enter your answers as a comma-separated
list.)
16
16
t =
9
Step 3
3t/2
h'(t) =
- 4
is undefined when the denominator is 0, which occurs where t is equal to the following
values. (Enter your answers as a comma-separated list.)
16
t =
9
Transcribed Image Text:Find the critical numbers of the function. h(t) = t3/4 – 4t/4 Step 1 For h(t) = t3/4 – 4t/4, we have 3Vi – 4 h'(t) = 4t (t) Step 2 Critical numbers occur where h'(t) = 0 and where h'(t) is undefined. 3t/2 . - 4 0 = h'(t) = t-3/4(3t/2 – 4) 4 when the numerator is 0, which occurs at the following values. (Enter your answers as a comma-separated list.) 16 16 t = 9 Step 3 3t/2 h'(t) = - 4 is undefined when the denominator is 0, which occurs where t is equal to the following values. (Enter your answers as a comma-separated list.) 16 t = 9
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