Concept of Derivative

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

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

• 15x²

• (5/4)x⁴

• indeterminate

• ∞

f'(x)=

• an equation for the slope of the tangent line

• 10

• DNE

• 3

• 6

• 2

• 4

• 6

• 8

• 2

• 0

• 0

• 1