Calculus
If x + 7y = 29 is an equation of the line normal to the graph of f at the point (1,4), then f'(1) =
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The normal line of a graph of a function f at point (x0, y0) has a slope that is the negative reciprocal of the derivative of the function at the same point (x0, y0). From the equation of the normal line x + 7y = 29, we can calculate the slope m to be -7. This means that the derivative of the function at (1, 4) is -1/7. Hence, f'(1) = -1/7.
