Use the definition of the derivative to find $f'$ for the function $f$. $f(x) = \frac{2}{4 - x}$ $f'(x) = $
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The derivative of a function f(x) at a point x is defined as the limit of the difference quotient as h approaches 0: f'(x) = lim(h->0) [f(x+h) - f(x)] / h Show more…
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Question 8: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 3x^2 + 5x - 7, at x = -2 f'(x) = 3x + 5; f'(-2) = -1 f'(x) = 6x - 5; f'(-2) = -17 f'(x) = 2x + 5; f'(-2) = 1 f'(x) = 6x + 5; f'(-2) = -7 Question 9: Use the product rule to find the derivative. f(x) = (3x^3 + 6)(5x^7 - 6) f'(x) = 150x^9 + 210x^6 - 54x^2 f'(x) = 12x^9 + 210x^6 - 54x^2 f'(x) = 150x^9 + 210x^6 - 54x f'(x) = 12x^9 + 210x^6 - 54x
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