DERIVATIVE OF LOGARITHMIC FUNCTIONS WORKSHEET

Calculate dy/dx:

Problem 1 :

y = x ln x

Solution

Problem 2 :

y = 2x³ ln (x + 4)

Solution

Problem 3 :

y = x ln x - 3x

Solution

Problem 4 :

y = ln (x²)

Solution

Problem 5 :

y = (ln x)²

Solution

Problem 6 :

y = ln (ln x)

Solution

Problem 7 :

y = (1 + ln x)⁵

Solution

Problem 8 :

y = (ln x - x)⁹

Solution

Problem 9 :

y = (x² + ln x)⁶

Solution

Problem 10 :

y = ln x / (x - 2)

Solution

Problem 11 :

y = (2x + 1)ln x

Solution

Problem 12 :

y = x³ ln(x + 1)

Solution

Problem 13 :

y = log(x)

Solution

Problem 14 :

y = log₇ (5x)

Solution

Problem 15 :

y = log ((2x² - 1)/√x)

Solution