Calculus Review - March 29

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Find the gradient of y= t³ - 4t² +1 at the point where t=3

• 3
• 6
• 1
• 2

Tags

CCSS.8.EE.B.5

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

• The function is increasing
• The function is decreasing

Tags

CCSS.HSF.IF.B.4

sin π/4

• √2∕2
• 1/2
• √3/2
• 0

Tags

CCSS.HSF.TF.A.2

• cos x
• csc x
• sec x
• cot x

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

• csc x
• sec x
• cot x
• tan x

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is a point of inflection?

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

Where do you find intervals where a function is decreasing?

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

Where is the point of infection for the function y = x^3 + 6x^2?

• 0
• -4
• -2
• 4

Tags

CCSS.HSA.APR.B.3

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

• The function is increasing
• The function is decreasing