Math

Use the table below to evaluate the d/dx[g(f(3x))] at x = 1.

x 1 2 3 4
f(x) 6 1 2 2
f ′(x) 6 1 10 2
g(x) 1 4 4 3
g ′(x) 4 5 7 –4


My work:
D/Dx(g(f(3x)))= g'(f(3x)) * f'(3x) * 2
D/dx (g(f(3*1))))
g'(f(3*1))*f'(3*1) *2
4*3*2=24

I know 24 isn't the right answer

  1. 👍 0
  2. 👎 0
  3. 👁 110
  1. Work from inside the parentheses,
    (g(f(3x))' for x=1
    =(g(f(3(1)))'
    =(g(f(3))'
    =(g(2))' [from table]
    =g'(2)
    =5 [from table]

    1. 👍 0
    2. 👎 0
    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Our professor wants us to evaluate the limits analytically without using a table or a graph, and if it doesn't exist we must describe the behavor near the limit point. I'm not sure how to evaluate each side of a limit separately

    asked by Anna on September 18, 2010
  2. Math. Need help

    1.if g=5 and k=1, evaluate 9+gk a. 13 b. 14 c. 15 d. 16 2.Evaluate a-b^2/b if a = 10 and b = 2. a. 1 b. 3 c. 8 d. 32 3.Evaluate 3xy^2 - y if x = 2 and y = 5. a. 26 b. 30 c. 120 d. 145 4.Evaluate 2d + d^2/3 if d = 6. a. 4 b. 12 c.

    asked by A. on August 28, 2016
  3. bio

    In an industrial accident, a sharp fragment of metal entered the head of a worker and lodged in the bony area where the vestibular branch of the auditory nerve leaves the ear. In order to evaluate what nerve damage had been done,

    asked by bio on October 30, 2006
  4. Math

    Suppose the amount of bacteria growing in a perti dish is represented by the function b(t)=50t/t+1 Evaluate the function at t=1,2,5,10,15,20 (a) constract a table of values (b) use the table to sketch a graph.

    asked by Loko on September 19, 2016
  5. calculus

    Use the Table of Integrals to evaluate the integral. 0 to π ∫cos^6(θ) dθ I don't see anything like that on the table of integral. Need some help.

    asked by Anonymous on March 10, 2019
  6. Calculus

    Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4

    asked by Tom on May 27, 2015
  7. Calculus Please Help

    evaluate the table and find d/dx [g[f(2x)]] at x=1 f(x) 6,1,6,2 f'(x) 1,2,5,7 g(x) 1,4,4,3 g'(x) 4,5,5,-4

    asked by Someone on January 11, 2017
  8. statistic

    A researcher conducts an experiment comparing three treatment conditions with a separate sample n = 8 in each treatment. An analysis of variance is used to evaluate the data, and the results of the ANOVA are presented in the table

    asked by jay on August 28, 2012
  9. math

    i need some serious help with limits in pre-calc. here are a few questions that i really do not understand. 1. Evaluate: lim (3x^3-2x^2+5) x--> -1 2. Evaluate: lim [ln(4x+1) x-->2 3. Evaluate: lim[cos(pi x/3)] x-->2 4. Evaluate:

    asked by Dani on July 13, 2010
  10. Quick calc question

    Use the table below to evaluate the derivative with respect to x of g of f of 2 times x at x = 1. x 1 2 3 4 f(x) 6 1 8 2 f ′(x) 6 1 8 2 g(x) 1 4 4 3 g ′(x) 9 5 5 –4

    asked by Mel on January 30, 2016

More Similar Questions