Use derivative to graph function and find maximal value

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• Derivative problem

  In other words, the derivative of the function is zero at the maximum (and minimum) points of the function. So to find exactly where the function obtains its maximal value we have to equate its derivative to zero and solve for q.

• Demand Equation : Writing a Revenue Function and Maximizing Revenue

  To find the price to maximize revenues we have two options: To substitute x=250 in the equation and solve for p: The second option is to repeat the procedure we did to find the maximal x, only now we ill write R as a function of p: A Demand

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• Maximal Interval of Existence.

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• Find the derivative f 'of f and tangent line

  456914 Find the derivative f 'of f and tangent line Let f(x) = x2 + 4x. (a) Find the derivative f 'of f. (b) Find the point on the graph of f where the tangent line to the curve is horizontal. Hint: Find the value of x for which f '(x) = 0.

• Conservation of energy in a spring-masses system

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• Applications of Graphing and Derivatives : Critical Points, Concave, Increasing and Decreasing

  Section 4.2 p. 175: 9, 17 Use the first derivative to find all critical points and use the second derivative to find all inflection points. Use a graph to identify each critical point as a local maximum, a local minimum, or neither. 9.