Derivatives by the Limit Process

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

Find the equation of the line tangent to the function at the given point

• a
• b
• c
• d

If f '(x) = 0, what does that mean with respect to the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

The derivative of a function is its

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

Find the value of the derivative at the indicated x-value.

• -4
• 3
• 0
• 24

Find the value of the derivative at the indicated x-value.

• 4
• 7
• 2
• -1

Find the value of the derivative at the indicated x-value.

• -12
• 5
• 10
• -13

Derive                y=3x²-4x+2

• 6x-6
• 6x-2
• 4-6x
• 6x-4

Given a function, f(x), if f'(x)>0 over a certain interval, then f(x) is __________ over that interval.

• increasing
• decreasing
• concave up
• concave down