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

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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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
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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