All parts of this problem refer to the function below. y = (7 + 8x)^{3/x} a) Use logarithmic differentiation to find dy/dx dy/dx = b) Find the slope of the tangent line at x = 1. Slope = c) Find the equation of the tangent line at x = 1. Tangent line: y = Note: You can earn partial credit on this problem.
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Step 1: Take the logarithm of both sides of the given function: \[ \log y = \frac{3}{x} \cdot \log(7 + 8x) \] Show more…
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