(1) For the function f(x) = 1 x²+1 (a) Find the derivative o...

  1. Home
  2. Homework Library
  3. Mathematics
  4. Calculus
  5. (1) For the function f(x) = 1 x²+1 (a) Find the derivative o...

QuestionQuestion

Transcribed TextTranscribed Text

(1) For the function f(x) = 1 x²+1 (a) Find the derivative of f(x) (b) Find the domain of f(x) (c) Find the domain of f' (x) (2) Find the limit: limx 8 1 +4x4-2x - (3) Find derivative: dx d = dx d = = dx d = (2x - 3)2 (1 + tan (x2)) = ;; da dx d = and sin x e-x = (4) Find the antiderivative: f'(x) = sin(x) + x³ ;; = x2+2Vx f(1) = 0 (5) Find 'Y' (or dy/dx) using implicit differentiation: -y + x 2 = sin(xy) (6) Find the equation of the tangent line at (Tt/6, r/12) for (y)( x-tan x (7) Find the limit (use l'Hospital's Rule) limx->o 1-ex (8) Find the limit: use any method you prefer (9) Sketch f(x) following steps A through H of section 4.5 (You MUST show the details of every step clearly) f(x)= =2-2x (10)A piece of wire 20 m long is cut in two pieces as shown in the picture below. You must use the picture on next page for your calculations. The first piece is bent to a rectangle where the length is twice the width. The second piece is bent into a square. How could the wire be cut so the total area enclosed is: (a) maximum (b) minimum (See next page for details of geometry)

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf.

    $45.00
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Calculus Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats