This code selection is taken from the Color Sleuth ed and would count as an algorithm on the Create PT. Write response 2c describing the algorithm above. Use the writing prompt and scoring guidelines as a guide. Here are the main points to make sure you include. Name your main algorithm and each of the two sub-algorithms Explain what each sub-algorithm does and how the code of each actually works Explain how the main algorithm works and how it helps achieve the purpose of the program

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You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.

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