Find 𝑑𝑦/𝑑𝑥and hence determine the rate of change of y with respect to x for the following logarithmic functions:

Question

a. 𝑦 = 4 ln 𝑥
b. 𝑦 = ln(3𝑥 − 1)

Answer 1

a. Hint: y=ln x^4
dy/dx= 1/x^4 * 4x^3=4/x
b. dy/dx= 1/(3x-1) * 3

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