calculus1

Let f(x) = x^5 + 3x^2 − 5x − 7, find the interval(s) where f is increasing and decreasing.

  1. 👍 0
  2. 👎 0
  3. 👁 100
  1. f is increasing where f' > 0

    f' = 5x^4+6x-5
    f' = 0 at x = -1.2588 and 0.6677
    f' changes sign at those roots, so
    f' > 0 on (-∞,-1.2588)U(0.6677,∞)
    f' < 0 on (-1.2588,0.6677)

    a look at the graph shows that f is in/de-creasing on these intervals

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Urgent!!! Physics

    At an air show, a jet plane has velocity components Vx = 625 and Vy = 415 at time 3.85s and Vx = 838 and Vy = 365 at time 6.52s . A. For this time interval, find the x component of the plane's average acceleration in km/h2. B. For

    asked by andrea on January 26, 2011
  2. Calculus

    1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[-4,-2]. If Rolle's Theorem can be

    asked by Cynthia on October 30, 2012
  3. Calculus

    F(x) = x^5 ln x A) Find the interval on which f is increasing Find the interval on which f is decreasing B) Find the local minimum value of f C) find the inflection point (x,y) Find the interval in which f is concave up Find the

    asked by Ray on November 1, 2012
  4. Math

    Suppose that f(x)=x^[1/3](x+3)^[2/3] (A) Find all critical values of f. If there are no critical values, enter None . If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to

    asked by Kris on March 27, 2019
  5. calculus

    consider the equation below f(x)=e^(7x)+e^(-x) find the intervals on which f is increasing and decreasing (enter your answers using interval notation) find the local minimum of f. find the interval on which f is concave up.

    asked by JuYoung on April 16, 2014
  1. Calculus 1

    Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum

    asked by TayB on October 30, 2015
  2. calculus

    Find all values of x in the interval [0, 2π] that satisfy the inequality. (Enter your answer using interval notation.) 14 cos(x) + 7 > 0

    asked by Anonymous on September 19, 2011
  3. physics

    1) The figure below shows the position of a particle versus time, with each line on the vertical axis representing 4.6 m. Find the average velocities for the time intervals a, b, c, and d indicated in the figure. 1. ___________

    asked by amanda on February 11, 2018
  4. Calculus

    Answer the following questions for the function f(x) = sin^2(x/3) defined on the interval [ -9.424778, 2.356194]. Rememer that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . I'm really

    asked by Anonymous on November 2, 2011
  5. math

    When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal? The 68% confidence interval

    asked by zahra on June 4, 2019
  6. Calculus(urgent please help)

    Consider the following function f(x)=x^2/[x^2-9] f(x) is increasing on the interval(s) f(x) is decreasing on the interval(s) f(x) has 2 vertical asymptotes x= f(x) is concave up on the interval(s) f(x) concave down on the

    asked by Ryan kustin on April 10, 2015

You can view more similar questions or ask a new question.