Find the derivative of y = 5x³ - 3x² + 7x - 2.
A15x² - 6x + 7CORRECT
B15x² - 6x - 2
C15x² + 6x + 7
D5x² - 6x + 7
GCEFurther MathematicsDifferentiation2021
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Why the answer is A, and why the others tempt you.
Differentiating term by term using the power rule: d/dx(5x³) = 15x², d/dx(-3x²) = -6x, d/dx(7x) = 7, and d/dx(-2) = 0. Adding these gives 15x² - 6x + 7. Option B incorrectly carries the constant -2, while D incorrectly differentiates 5x³ as 5x².
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