Let y = tan(4x + 7). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when x = 2 and dx = 0.6

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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the answer has to be in decimal form ty

Let
tan(4x + 7).
Find the differential dy when x =
= 2 and dæ
0.3
Find the differential dy when x = 2 and dx
0.6
Transcribed Image Text:Let tan(4x + 7). Find the differential dy when x = = 2 and dæ 0.3 Find the differential dy when x = 2 and dx 0.6
Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in
such a way that the rate of change (in grams/minute) of the weight of the solid at any time t can be
determined from the weight using the forumula: f'(t) = – 2f(t)(5 + f(t))
-
If there is 2 grams of solid at time t
2 estimate the amount of solid 1 second later.
grams
Transcribed Image Text:Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any time t can be determined from the weight using the forumula: f'(t) = – 2f(t)(5 + f(t)) - If there is 2 grams of solid at time t 2 estimate the amount of solid 1 second later. grams
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