The rate at which a cell absorbs an external signalling molecule x through the cell membrane can be described by the absorption function 5х А(х) — e2r * 1. Calculate A'(x) and find a value for x such that the absorption function has a horizontal tangent line. 2. What is the absorption rate at this value of x ? 3. Find this tangent line.

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The rate at which a cell absorbs an external signalling molecule x through the cell membrane can be described by the absorption function
5x
A(x)
e2x *
1. Calculate A'(x) and find a value for x such that the absorption function has a horizontal tangent line.
2. What is the absorption rate at this value of x ?
3. Find this tangent line.
4. Would you expect this absorption function to be the same for all cell types and for all signalling molecules x?
Transcribed Image Text:The rate at which a cell absorbs an external signalling molecule x through the cell membrane can be described by the absorption function 5x A(x) e2x * 1. Calculate A'(x) and find a value for x such that the absorption function has a horizontal tangent line. 2. What is the absorption rate at this value of x ? 3. Find this tangent line. 4. Would you expect this absorption function to be the same for all cell types and for all signalling molecules x?
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