The polynomial C(t) = -0.006t4 +0.140t³ -0.53t² +1.79t measures the concentration of a dye in the bloodstream seconds after it is injected. Find the rate of change of concentration with respect to time.

The polynomial C(t) = -0.006t4 +0.140t³ -0.53t² +1.79t measures the concentration of a dye in the bloodstream seconds after it is injected. Find the rate of change of concentration with respect to time.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.CR: Chapter 7 Review

Problem 54CR

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Question

The polynomial C(t) = -0.006t4 + 0.140t3 - 0.53t2 + 1.79t measures the concentration of a dye in the bloodstream t
seconds after it is injected. Find the rate of change of concentration with respect to time.
O A.dC
| | | | 히
○ B.dC
OC.dc
O D. dC
= -0.02414 +0.420t³ -1.06² +1.79t
-0.006t³ +0.140t² -0.53t+1.79
-0.0241³ +0.4201²-1.06t+1.79
-0.0181³ +0.280² - 0.53t+1.79

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Step 1: Using the derivative to find rate of change of concentration

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Step 2: Using the power rule to differentiate

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