FINDING DERIVATIVE OF SQUARE ROOT FUNCTION WORKSHEET

Calculate dy/dx for the following functions:

Problem 1 :

y = (x - 3) √(x - 3)

Solution

Problem 2 :

y = √(4 - √(x + 2))

Solution

Problem 3 :

y = (7x + √x² + 3)⁶

Solution

Problem 4 :

f(x) = √(2x +5)/(7x - 9)

Solution

Problem 5 :

f(x) = √(5x³ - 2x)

Solution

Problem 6 :

y = 3x² √(4x² - 5x + 1)

Solution

Problem 7 :

y = (2/3)t³ √(3t³ - 5t)

Solution

Problem 8 :

y = 2e^x √x

Solution

Problem 9 :

e^{√(2x^3 - x^2)}

Solution

Problem 10 :

8√x⁵ - 7x⁴ + 5/√x

Solution

Answer Key

1)  dy/dx = 3√(x - 3)/2

7)  [t³(9t² - 5)/3√(3t³ - 5t)] + 2t²√(3t³ - 5t)

Problem 1 :

y =∜(7m³ - 4m² + 2)

Solution

Problem 2 :

c = ∛ (4k² + 3)²

Solution

Problem 3 :

r = ∜ (4w + 3)⁵

Solution

Problem 4:

d = 3 / √x + 2

Solution

Problem 5 :

f = 2 / √4e + 5

Solution

Problem 6 :

g(x) = 1/√1 - 2x

Solution

Problem 7 :

k(n) = 4/√n² + 6

Solution

Problem 8  :

p(r) = 12 / ∜ (7 - r)⁵

Solution

Problem 9 :

q(z) = 5 / ⁵√ (z⁵ - 32)

Solution