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                        Generated on 9/18/2025 at 7:28 PM
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                    <div class="section-title small" style="color: #0080A1; font-size: 14pt; margin-top:60px;">Find derivatives of inverse functions.</div>
                <div class="course-main-title"> Standard #: MA.912.C.2.6</div>
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                <div class="section-title" style="color: #0080A1">Standard Information</div>
                    <div class="info-block">
                        <div class="section-title italic" style="color: #0080A1; font-size: 16pt">Standard Examples</div>
                        <div class="section-content"> <i>Example</i>: Let <img align="middle" alt="begin mathsize 12px style f left parenthesis x right parenthesis space equals 2 x cubed space a n d space g left parenthesis x right parenthesis space equals f to the power of negative 1 end exponent left parenthesis x right parenthesis end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#xA0;«/mo»«mo»=«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»§#xA0;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#xA0;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#xA0;«/mo»«mo»=«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»" src="https://cpalmsmediaprod.blob.core.windows.net/wirisformulas/cache/f26e808c7f60d18a1201e0f82127c629.png" style="vertical-align: middle;"/>, find <img align="middle" alt="begin mathsize 12px style g to the power of apostrophe left parenthesis 2 right parenthesis end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«msup»«mi»g«/mi»«mo»`«/mo»«/msup»«mo»(«/mo»«mn»2«/mn»«mo»)«/mo»«/mrow»«/mstyle»«/math»" src="https://cpalmsmediaprod.blob.core.windows.net/wirisformulas/cache/a79f498f18adb2c1229da6db0a240195.png" style="vertical-align: middle;"/>.</div>
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                    <div class="section-title italic" style="color: #0080A1; font-size: 16pt">General Information</div>
                        <div class="section-content">
                            Subject Area: Mathematics (B.E.S.T.)
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                                            <div class="section-content">
                            Grade: 912
                        </div>
                                            <div class="section-content">
                            Strand: Calculus
                        </div>
                    


                        <div class="section-content">
                            Standard:  <a href="https://www.cpalms.org//PreviewIdea/Preview/3573">Develop an understanding for and determine derivatives.</a>
                        </div>
                                            <div class="section-content">
                            Date Adopted or Revised: 08/20
                        </div>
                                                                                    <div class="section-content">
                            Status: State Board Approved
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                    <div class="section-title" style="color: #0080A1"> Related Courses </div>
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                                <li>
                                    Calculus Honors <span class='specificversion'> (Specifically in versions: <a href='https://www.cpalms.org/PreviewCourse/Preview/10351?isShowCurrent=false' class='RelatedVersion'>2014 - 2015</a>, <a href=https://www.cpalms.org/PreviewCourse/Preview/13016?isShowCurrent=false' class='RelatedVersion'>2015 - 2022</a>, <a href=https://www.cpalms.org/PreviewCourse/Preview/20409?isShowCurrent=false' class='RelatedVersion'>2022 - 2024</a>, <a href=https://www.cpalms.org/PreviewCourse/Preview/23367?isShowCurrent=false' class='RelatedVersion'>2024 and beyond (current)</a>)</span> #
                                    <a href="https://www.cpalms.org/PreviewCourse/Preview/11" class="blue"> 1202300 </a>
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                        </ul>
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