Calculus and Derivatives Quiz

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Questions and Answers

What does the hyphen operator do when used in a Google search?

  • Eliminates undesired matches from the return results (correct)
  • Returns pages with both preceding and following terms
  • Returns matches from a specific website
  • Stops Google from using synonyms for the search term

Which search query is best used for finding only matches from answers.yahoo.com?

  • Job find site: answers.yahoo.com
  • Job search +answers.yahoo.com
  • Job search site:answers.yahoo.com (correct)
  • Job search restrict:answers.yahoo.com

Which search query returns pages describing horrible credit?

  • "bad credit" | "poor credit"
  • Bad | poor credit
  • Poor credit
  • ~bad credit (correct)

Who developed Google Drive?

<p>Google Inc (A)</p> Signup and view all the answers

What is the main purpose of Google Sheets?

<p>Storing and processing large amounts of data (A)</p> Signup and view all the answers

What does the active cell in Google Sheets allow you to do?

<p>Enter or edit data (B)</p> Signup and view all the answers

What does the term 'spreadsheet range' refer to in Google Sheets?

<p>A set of cells forming a rectangular area in the table (D)</p> Signup and view all the answers

What happens to relative links when moving or copying a spreadsheet in Google Sheets?

<p>Converted depending on the new position of the formula (B)</p> Signup and view all the answers

What is the correct method to share files on Google Drive?

<p>All of the above (D)</p> Signup and view all the answers

What is the correct derivative of $81(u/v)'$?

<p>$(u'·v-u·v')/v^2$ (D)</p> Signup and view all the answers

Which of the following is the correct derivative of $83.√x$?

<p>$1/2√x$ (A)</p> Signup and view all the answers

What is the derived function of $f(x)=4log5x+log56-3/x$?

<p>$4/xln5+3/x^2$ (D)</p> Signup and view all the answers

What is integration?

<p>The operation of finding the integral (A)</p> Signup and view all the answers

In finding the derivative of y=(x-5x^2)e^x - (1-10x)e^x, what is the correct expression?

<p>(1-10x)e^x+(x-5x^2)e^x (B)</p> Signup and view all the answers

For the antiderivative of f(x)= x^2 - sin(2x), what is the correct expression?

<p>F(x)=x^3/3+cos(2x)/2+C (C)</p> Signup and view all the answers

What is the correct derivative for y= cos(5x-2) –ln10?

<p>-5sin(5x-2) - 5sin(5x-2) + ln10 - sin(5x-2) (D)</p> Signup and view all the answers

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Study Notes

Google Search Operators

  • The hyphen operator (-) in a Google search excludes a specific term from the search results.

Search Queries

  • To find only matches from answers.yahoo.com, use the search query "site:answers.yahoo.com".
  • To find pages describing horrible credit, use the search query "horrible credit".

Google Drive

  • Google Drive was developed by Google.

Google Sheets

  • The main purpose of Google Sheets is to create and edit spreadsheets online.
  • The active cell in Google Sheets allows you to enter or edit data.
  • A 'spreadsheet range' in Google Sheets refers to a group of cells that are selected or referenced together.
  • When moving or copying a spreadsheet in Google Sheets, relative links are updated to reflect the new location.

Google Drive File Sharing

  • To share files on Google Drive, the correct method is to right-click on the file, select "Get link," and then adjust the sharing settings as needed.

Calculus

  • The derivative of $81(u/v)'$ is not provided.
  • The derivative of $83.√x$ is $(83/2)x^{-1/2}$.
  • The derived function of $f(x)=4log5x+log56-3/x$ is $f'(x)=(4/x) - (3/x^2)$.
  • Integration is the reverse operation of differentiation, used to find the antiderivative of a function.
  • The derivative of $y=(x-5x^2)e^x - (1-10x)e^x$ is $y'= [(1-10x)e^x - (1-10x)e^x] + [(x-5x^2)e^x - (10x-30x^2)e^x]$.
  • The antiderivative of $f(x)= x^2 - sin(2x)$ is $(1/3)x^3 + (1/2)cos(2x) + C$.
  • The derivative of $y= cos(5x-2) –ln10$ is $y'= -5sin(5x-2)$.

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