DERIVATIVE USING POWER RULE WORKSHEET

Find dy/dx if :

Problem 1 :

y = x + √x

Solution

Problem 2 :

y = x⁵ - 3√x

Solution

Problem 3 :

y = x^5/2 - 2/x

Solution

Problem 4 :

y = 3x⁴ - 2/x + 6/x²

Solution

Problem 5 :

y = (x + 5) (x + 2)

Solution

Problem 6 :

y = (3x + 1) (5x - 3)

Solution

Problem 7 :

y = (5x² - 3) (4x³ + x)

Solution

Problem 8 :

y = (x³ + 1) (2x + 3)

Solution

Problem 9 :

y = (x⁵ - 2x)²

Solution

Problem 10 :

y = (x - 2) (x + 1) (3x + 1)

Solution

Problem 11 :

y = (x - a)³

Solution

Problem 12 :

y = (2x + 3)³

Solution

Problem 13 :

y = 2x (3x² - 7x + 8)

Solution

Problem 14 :

y = 3x² (x + 1) (x - 2)

Solution

Problem 15 :

y = (x + 1/x)²

Solution