gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t). According to the model, how fast were per capita sales of bottled water changing in 2011?

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A: To find the derivative of the given function.

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A: To find: The derivative of the function . Calculation: Find the derivative of the function.

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A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

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A:

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A: The give function is y=secx.

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A: Given: By using logarithm base change rule, the function can be rewritten as follows,

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A: Find the derivative of the function

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A: On simplification, we get

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A: Given Data: y=x Formula: d(xn)dx=nxn-1

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: