College Math CLEP Prep Practice Exam

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What is the derivative of y = x2 + 2x – 5?

2x + 2
2x – 5
x2 – 5
x2 + 2x

The correct answer is: 2x + 2

The derivative of a function is its rate of change, or how much the output of the function changes for every unit change in the input. In this case, the function y = x2 + 2x – 5 represents a parabola, which has a constantly changing slope. The derivative of this function is found by taking the derivative of each term individually and adding them together. The derivative of x2 is 2x, the derivative of 2x is 2, and the derivative of -5 is 0. Therefore, the derivative of y = x2 + 2x – 5 is 2x + 2, which is represented by option A. None of the other options correctly represent the derivative of the given function. Option B is missing the constant term 2, option C only has the x-term being differentiated, and option D is missing the constant