QUIZ #3-differentiation # 3

What rule should be used in deriving f(x) = x⁵

• Constant rule

• Sum rule

• Power rule

• Difference rule

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• Chain rule

What is the derivative of f(x) = 2x³ - 4x + 5?

• f'(x) = 6x² - 4x

• f'(x) = 2/3x² - 4x

• f'(x) = 3x² - 4

• f'(x) = 6x² - 4

Which function has the derivative of g'(x) = 4x³ + 2x - 1

• g(x) = 2x⁴ + 2x² - 1

• g(x) = x⁴ + x² - x

• g(x) = 2x³ + x³ - 2x

• g(x) = x⁵ + x² - x

Choose the best rule to derive the function.

• Product rule

• Quotient rule

• Power rule

• Chain rule

At which point(s) will the slopes of the tangent line are zero?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Let f(x) = (x - 1)(x + 2). Find f'(0)

• 0

• 1

• 2

• 3

Given f(x) = ax² + 2bx. What are a and b if f'(x) = 8x + 6?

• a = 2 and b = 3

• a = 3 and b = 2

• a = 3 and b = 4

• a = 4 and b = 3

At what point will the slope of y = -x² + 4 is zero?

• (0, 4)

• (1, 4)

• (4, 0)

• (1, 0)