Let f and g be the function defined by f(t) = 7t² and g(t) = t³ + 2t. Determine f'(t) and g'(t). f'(t) g'(t) = Let p(t) = 7t² (t³ + 2t) and observe that p(t) = f(t) g(t). Rewrite the formula for p by distributing the 7t² term. Then, compute p'(t) using the sum and constant multiple rules. p'(t) True or false: p'(t) = f'(t) g'(t). Select an answer g(t) -. Rewrite the formula for q by dividing each term in the f(t) t³ + 2t 7t² and observe that q(t) = numerator and the denominator and simplify to write q as a sum of constant multiples of powers of t. Then, compute q'(t) usign the sum and constant multiple rules. d' (t) Let g(t) - True or false: p'(t): = g' (t) f'(t) Select an answer
Let f and g be the function defined by f(t) = 7t² and g(t) = t³ + 2t. Determine f'(t) and g'(t). f'(t) g'(t) = Let p(t) = 7t² (t³ + 2t) and observe that p(t) = f(t) g(t). Rewrite the formula for p by distributing the 7t² term. Then, compute p'(t) using the sum and constant multiple rules. p'(t) True or false: p'(t) = f'(t) g'(t). Select an answer g(t) -. Rewrite the formula for q by dividing each term in the f(t) t³ + 2t 7t² and observe that q(t) = numerator and the denominator and simplify to write q as a sum of constant multiples of powers of t. Then, compute q'(t) usign the sum and constant multiple rules. d' (t) Let g(t) - True or false: p'(t): = g' (t) f'(t) Select an answer
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f and g be the function defined by f(t) = 7t² and g(t) = t³ + 2t.
Determine f'(t) and g'(t).
f'(t)
g'(t)
Let p(t) = 7t² (t³ + 2t) and observe that p(t) = f(t) g(t). Rewrite the formula for p by distributing the
7t² term. Then, compute p'(t) using the sum and constant multiple rules.
p' (t)
True or false: p'(t) = f'(t) g'(t). Select an answer
g(t)
t³ + 2t
7t²
and observe that g(t) =
f(t)
Rewrite the formula for q by dividing each term in the
numerator and the denominator and simplify to write q as a sum of constant multiples of powers of t.
Then, compute q'(t) usign the sum and constant multiple rules.
d' (t)
Let g(t)
=
True or false: p'(t) =
g' (t)
f' (t)
Select an answer
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