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Answer :
Final answer:
The derivative of the function y = 17x⁻² - 16x³ - 4x is -34x⁻³ + 48x² - 4, derived by applying the power rule to each term individually. Therefore, the correct answer is option b) -34x⁻³+48x²-4 .
Explanation:
The student asked to find the derivative of the function y = 17x⁻² - 16x³ - 4x. To find the derivative, we use the power rule, which states that the derivative of x to the power of n, denoted as x^n, is n times x to the power of n-1. Applying this rule to each term in the function we get:
- The derivative of 17x⁻² is -34x⁻³.
- The derivative of -16x³ is -48x².
- The derivative of -4x is -4.
Therefore, the derivative of the given function is -34x⁻³ + 48x² - 4.
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