An in-depth view into how the formula for the derivative of inverse is derived, and how to use it to find the derivative of a wide range of functions. Given a function $f$ defined on an interval $I$ (possibly with a larger domain), if the function is injective on $I$, then $f$ β when the domain is restricted to $I...

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Identify the intervals when π is increasing and decreasing. Include a justification statement. 1. Increasing: Decreasing: 2. Increasing: Decreasing: For each function, find the intervals where it is increasing and decreasing, and JUSTIFY your conclusion. Construct a sign chart to help you organize the information, but do not use a calculator. 3.

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You can observe the graph and say that it is strictly decreasing in the interval (0,infinity).. Or otherwise just differentiate the given function and assign it to '0' and substitute the obtained values, you will get all values positive for x<e and x>e.. so the given function is either strictly increasing or strictly decreasing.

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Feb 08, 2017 Β· 22. You peer around a corner. A velociraptor 64 meters away spots you. You run away at a speed of 6 meters per second. The raptor chases, running towards the corner you just left at a speed of meters per second (time measured in seconds after spotting).

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I was trying to find the intervals in which the cubic function $4x^3 -6x^2 -72x + 30$ would be strictly increasing and strictly decreasing. I managed to get the fact that at the values {-2,3} the differential of the function is zero.