Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a constant times a differentiable function is equal to the constant times the derivative of the function. In other words, we have the following where c is a constant. d d = C- dx dx Applying this rule when finding the derivative of the given function gives us the following result. 13(?7 - 2)51 f'(t) = = 3. dt
Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a constant times a differentiable function is equal to the constant times the derivative of the function. In other words, we have the following where c is a constant. d d = C- dx dx Applying this rule when finding the derivative of the given function gives us the following result. 13(?7 - 2)51 f'(t) = = 3. dt
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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Question
![Find the derivative of the function.
F(t) = 3(t7 – 2)5
Step 1
Recall that the derivative of a constant times a differentiable function is equal to the constant times the derivative
of the function. In other words, we have the following where c is a constant.
[cf(x)] = c-
dx
d
f(x)
dx
Applying this rule when finding the derivative of the given function gives us the following result.
F'(E) = [3(t? - 2)5J
dt
d
= 3.
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba97c60f-e198-4877-8261-f5404cfa8fed%2F5533b6c2-08f9-4897-9a28-9b99a9200514%2F5114nbg_processed.png&w=3840&q=75)
Transcribed Image Text:Find the derivative of the function.
F(t) = 3(t7 – 2)5
Step 1
Recall that the derivative of a constant times a differentiable function is equal to the constant times the derivative
of the function. In other words, we have the following where c is a constant.
[cf(x)] = c-
dx
d
f(x)
dx
Applying this rule when finding the derivative of the given function gives us the following result.
F'(E) = [3(t? - 2)5J
dt
d
= 3.
dt
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