# 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

1)  dy/dx = ln (x) + 1

4) dy/dx = 2/x

5)  dy/dx = 2 ln(x) / x

6)  dy/dx = 1 / x ln(x)

7)  dy/dx = 5 (1 + ln(x))4 / x

8)  dy/dx = 9 (ln x - x)8 (1/x - 1)

9)  dy/dx = 6 (x² + ln x)5 (2x + 1/x)

10)

11)  dy/dx = (2x + 1)/x) + 2 ln(x)

12) dy/dx = x³ / (x + 1) + 3x² ln(x + 1)

13)  dy/dx = 1/x

14)  dy/dx = 1/x ln (7)

15)

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