Find the First Derivative and second dervative, find the critical values and analyze critical values using an interval table showing and stating the interval of increase, decrease, max and min.

Q: compute the derivative

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Q: Given f(x)=3x^(2)e^(-x^(3)) where x>=0. Find median.

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Q: 4. Use the graph to determine: (a) the average rate of change between x = 2 and _x = 6 (b) the…

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Q: A simple curve that often makes a good model for the variable costs of a company, as a function of…

A: Given : a curve that makes a good model for the variable costs of the company and has the form -…

Q: Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase…

A: we need to graph the given function and also need to find out the critical points, etc

Q: What is the limit of the derivative of a function as the independent variable approaches a specific…

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Q: Use forward, backward, and centered difference approximations to estimate the first derivative of…

A: We are given the function f(x)=5x5+3x3+2x+1 and the step size as h=0.5. As we are given no…

Q: Are critical numbers from the first derivative used in the test for concavity?

A: We have to tell that  critical numbers from the first derivative used in the test for concavity or…

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: What are finite differences, and how are they used to estimating derivatives of gridded data

A: It is given that Finite differences