Find the interval on which the function

Related BrainMass Solutions

• A Discussion On Rolle's Theorem

  In this solution, the method to find the interval on which one can apply Rolle's theorem to a continuous and differentiable function is discussed. Step by step calculations are given.

• Functions : Derivatives, Areas of Increase and Extrema

  136711 Functions : Derivatives, Areas of Increase and Extrema Suppose f(x) = ln(2 + cos x) on the interval (0, 2pi). a) Calculate f' (x) and f" (x). b) Find the interval(s) on which the function f is increasing.

• Reimann Sum/ Integrals

  57759 Reimann Sum/ Integrals Find exact values for Riemann sums approximating the integral of the function f(x)=x2 on the interval [0,1].

• Find the intervals

  They are: The roots are: (1.5) Therefore: (1.6) The function decreases on the interval (12,20) and increases in the interval It looks like: A function is concave up when its second derivative is positive A function is concave

• Functions : Derivatives, Areas of Increase and Extrema

  136710 Functions : Derivatives, Areas of Increase and Extrema Suppose f(x) = ln(2 + cos x) on the interval (0, 2pi). a) Calculate f' (x) and f" (x). b) Find the interval(s) on which the function f is increasing.

• Finding maxima and minima, concave up and concave down.

  Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on which the function is concave up or concave down, and all inflection points.

• Mean Value Theorem and Maximizing Volume of an Open Box

  And we find such that . which is in the interval . So, the function satisfies the condition of the mean value theorem. b) Given , and We have . And we find such that . which is not in the interval .

• Application of Derivatives : Use analytic methods to find the extreme values of the function on the interval and where they occur - f(x) = sin (x + pi/4), 0

  56664 Use analytic methods to find the extreme values of the function Use analytic methods to find the extreme values of the function on the interval and where they occur. 15. f(x) = sin (x + pi/4), 0

• Tracing a graph

  (c) Is the function even, odd, or neither? (d) On which interval(s) is the graph increasing? On which interval(s) is the graph decreasing? On which interval(s) is the graph constant? Write the answers for question D in interval notation.

• Concave Up

  The interval on which a function is concave up is found. The response received a rating of "5/5" from the student who originally posted the question.