Applications of Derivatives

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

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

• 6
• 12
• 6 + ⅔
•  ⅔

Find the derivative of the given equation
f(x) = 1/x²  (hint: use your pink sheet)

• 1/2x
• -2x
• 2x
• -2x^-3

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

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• x'
• dy/dx

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

If a function has a derivative that is positive, what does that tell you?

• The function is increasing
• The function is decreasing

If a function has a second derivative that is positive, what does that tell you?

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

If a function has a second derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7