Find the third derivative of the following function: f(x) = 5x^2(x + 47) Select one: a. f'''(x) = 30 b. f'''(x) = 15x^2 + 470 c. f'''(x) = 30x d. f'''(x) = 30x + 470
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Given f(x) = 5x^2(x + 47), we need to find f'(x). Using the product rule, f'(x) = 10x(x + 47) + 5x^2(1) Simplifying, f'(x) = 10x^2 + 470x + 5x^2 f'(x) = 15x^2 + 470x Show more…
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