document.write( "Question 1203750: Please help me with this calculus problem involving derivatives of inverse functions. Thank you in advance for your time!\r
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Algebra.Com's Answer #839574 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "One approach is to find g(x), the inverse of f(x):\r
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document.write( "f(x) = ,   \r
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document.write( "To avoid confusion, I'll use y=f(x), solve for y, and after that, we can write g(x):\r
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document.write( "  f(x) = 
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document.write( "Square both sides
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document.write( "Add 16 to both sides, this completes the square on RHS
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document.write( "Factor RHS
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document.write( "Take square root of both sides
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document.write( "Subtract 4 from both sides, and re-write with x on LHS:
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document.write( "Now we can write   , and g(x) also has domain \r
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document.write( "g'(x) =  \r
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document.write( "Just plug in x=3 to g(x) and g'(x) to get the desired values ( I got g(3)=1, g'(3)=1/10) \n" );
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