Derivatives

Find the derivative of the given equation
g(x) = 6 + ⅔x

• 6
• 12
• 6 + ⅔
•  ⅔

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

Solve f '(2)  for 
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Where do you find intervals where a function is decreasing?

• f'(x)>0
• f"(x)>0
• f'(x)<0
• f"(x)<0

What is a point of inflection?

• When a function goes from increasing to decreasing
• When a function goes from concave up to concave down

How do you find the critical numbers of a function?

• f'(x) = 0
• f'(x) = 0 and where f'(x) is undefined
• f(x) = 0
• f"(x) =  0

What is the minimum x value of y = x^3 + 6x^2

• -4
• 0
• 12
• 4

On what interval(s) is the function
y = x^3 + 6x^2
concave up?

• (-∞,∞)
• (-∞,-2)
• (-2,∞)
• (0,∞)

On what interval(s) is the function
y = x^3 + 6x^2
concave down?

• (-∞,-4)
• (-∞,-2)
• (-2,∞)
• (0,∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7