Unit 3 - Day 7 Exit Slip/Homework

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

What is the derivative of tan(x)?

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

Derive                y=3x²-4x+2

• 6x-6
• 6x-2
• 4-6x
• 6x-4

If f(x) = 4tan(x/2), then f'(x) =

• 4sec²(x/2)

• -4csc²(x/2)

• 2sec²(x/2)

• -2csc²(x/2)

If f(x) = sin³(2x), then f'(x) =

• 3cos(2x)
• 3sin(2x)⋅2
• 3sin²(2x)cos(2x)
• 3sin²(2x)cos(2x)⋅2

 $\frac{d}{dx}\sqrt{x^{ }+1}$  =

•  $\frac{1}{2\sqrt{1+x^{ }}}$  
  

•  $\frac{-x}{1-x}$  
  

•  $\frac{1}{x}$  

•  $\frac{x}{\sqrt{x^2+1}}$  

Find the derivative:
f(x) = sin(5x)

• -5cos(5x)
• cos(5x)
• 5cos(x)
• 5cos(5x)

Find the derivative:
f(x) = -2cosx

• -2sinx
• -cos²x
• 2sinx
• 2cosxsinx