Power Product and Quotient Rule

Given u(x) = f(x)g(x), f(2) = 3, g(2) = -3, f '(2) = 5, and g'(2) = 1, then u'(2) = ?

• -12

• 4

• 5

• 12

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• 6x^-3

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 

• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 

• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2

• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²

• 18x² - 16x

• 15x² - 6x

• 6x - 4

Simplify and then evaluate the expression using the quotient rule.

• 2¹⁴ z¹³

• 4/z⁷

• 2¹⁴/ z⁷

• 4z⁷

Evaluate the expression using the quotient rule.

• ²²

• ³⁰

• 6²²

• 6³⁰

Evaluate using the quotient rule: 

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

Simplify using the 9 Laws of Exponents:

• 
• 
• 
• 

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Calculate the derivative using the product rule

• 
• 
•