Calculus Semester 1 Review

Find the critical numbers of
f(x) = 2x⁴- 4x² + 1

• x= 0
• x = -1, 1
• x = -1, 0, 1
• no critical points

What are the increasing intervals of the graph for f(x) = 2x⁴- 4x² + 1

• (-1,0)
• (0,1)
• (-∞,-1) and (1,∞)
• (0,1) and (-1,0)

Which graph is the derivative of the top graph?

• A
• B
• C
• D

f' is given, which could be f?

• A
• B
• C

• A
• B
• C
• D

What is the derivative of cot(x)?

• sec²(x)
• -sec²(x)
• csc²(x)
• -csc²(x)

What is the derivative of -cot(x)?

• -sec²(x)
• sec²(x)
• -csc²(x)
• csc²(x)

What is the derivative of csc(x)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of -sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)