open house calculus

What is the limit?

• 5/2
• -2/3
• Infinity
• 17/3

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Tags

CCSS.HSF.IF.B.4

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

• 1/2x
• -2x
• 2x
• -2x^-3

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

What is the derivative of tan(x)?

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

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

How many derivatives can you take of a function?

• only 3
• only 2
• only 1
• until you can no longer derive it

• 1/2
• -1/2
• 0
• 3/2