Find 𝑑𝑦/𝑑π‘₯and hence determine the rate of change of y with respect to x for the following logarithmic functions:

a. 𝑦 = 4 ln π‘₯
b. 𝑦 = ln(3π‘₯ βˆ’ 1)

User Icon for bobpursley bobpursley answered
3 years ago

a. Hint: y=ln x^4

dy/dx= 1/x^4 * 4x^3=4/x
b. dy/dx= 1/(3x-1) * 3

https://www.derivative-calculator.net/