Let f and g be the functions defined by f(t) = 3t² and g(t) = t³ + 4t. Determine f'(t) and g (t). %3D f'(t) = d (t : Let p(t) = 3t2 (t + 4t) and observe that p(t) = f(t) · g(t). Rewrite the formula for p by distributing the 3t2 term. Then, compute p'(t) using the sum and constant multiple rules. p'(t) = True or False: p' (t) = f'(t) · g (t) False v

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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Let f and g be the functions defined by f(t) = 3t² and g(t) = t³ + 4t.
Determine f'(t) and g'(t).
f' (t) =
d (t) =
Let p(t) = 3t2 (t³ + 4t) and observe that p(t) = f(t) · g(t). Rewrite the formula for p by distributing
the 3t term. Then, compute p'(t) using the sum and constant multiple rules.
%3D
p' (t) =
True or False: p' (t) = f'(t) · g (t) False v
Transcribed Image Text:Let f and g be the functions defined by f(t) = 3t² and g(t) = t³ + 4t. Determine f'(t) and g'(t). f' (t) = d (t) = Let p(t) = 3t2 (t³ + 4t) and observe that p(t) = f(t) · g(t). Rewrite the formula for p by distributing the 3t term. Then, compute p'(t) using the sum and constant multiple rules. %3D p' (t) = True or False: p' (t) = f'(t) · g (t) False v
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