College Math CLEP Prep Practice Exam

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What is the first derivative of 5x^4 - 8x^2 + 3x + 4?

20x^3 - 16x + 3
25x^3 - 8x^2 + 3
20x^3 - 16x + 4
25x^3 - 8x^2 + 4

The correct answer is: 20x^3 - 16x + 3

Option B is incorrect because the coefficient of the first term would need to be 20 for it to match the coefficient of 5x^4. Option C is incorrect because the constant term would need to be 3 for it to match the constant term of 5x^4 - 8x^2 + 3x + 4. Option D is incorrect for the same reasons as option B and C. The correct answer is option A because it matches the coefficient of 20x^3 and the constant term of 3, and the coefficient of x is -16 which matches the derivative of -8x^2.