# -3x? – x +11. Given g(x)=:Determineshow algebraically that g'(x) =2V#(x° +x+1}°the x-value(s) of any horizontal tangents. *Hint: The domain of g(x) is important!x² +x+1

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60 views help_outlineImage Transcriptionclose-3x? – x +1 1. Given g(x)=: Determine show algebraically that g'(x) = 2V#(x° +x+1}° the x-value(s) of any horizontal tangents. *Hint: The domain of g(x) is important! x² +x+1 fullscreen
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Step 1

Given the function, To calculate the derivative of function g(x), apply the quotient rule formula Differentiate the function with respect to x Step 2

The x values of any horizontal tangent,

Substitute the value of derivatives of function is equal to zero Solve the quadratic equation for value x

Compare the equation with the standard equation, Substitute the value of ...

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