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Answer :
Final answer:
To find the derivative f'(x) of the function f(x), we apply the power rule: for ax^n, the derivative is an*x^(n-1). Hence, for f(x)=10x^7 - 2x^6 + 4x - 29/18, the derivative is f'(x)=70x^6 - 12x^5 + 4.
option a is the correct answer
Explanation:
The question asks for the derivative of the function f(x) = 10x⁷ - 2x⁶ + 4x - 29/18. Calculating the derivative, often denoted f'(x), involves applying the power rule to each term involving x. For each term ax^n, the derivative is anx^(n-1).
The derivative of the given function will therefore be:
f'(x) = 70x⁶ - 12x⁵ + 4.
The constant term, -29/18, has a derivative of 0 as constants have no rate of change.
The correct answer, therefore, is option (a).
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