Slope Review
What is slope also called?
Rate of change
What does a derivative measure?
Slope / rate of change
What is the derivative of x²?
2x
Integration is the opposite of what?
Differentiation
If speed is integrated, what do you get?
Distance
If rise = 6 and run = 3, what is the slope?
2
A derivative gives the slope of what line?
Tangent line
What is the derivative of x³?
3x²
What does integration find?
Area under a curve / accumulation
Area under a speed-time graph represents what?
Total distance traveled
What does a positive slope mean?
The line goes up
If position changes over time, the derivative tells what?
Speed
What is the derivative of 5x²?
10x
What symbol is used for integration?
∫
Name one real-life use of derivatives.
Speed, profit change, population growth, physics
What is the slope formula?
rise/run
What is another name for a derivative?
Instantaneous rate of change
What is the derivative of x⁴?
4x³
Why do we add +C?
Constant of integration
Name one real-life use of integration.
Distance, total profit, total growth, accumulation
If rise = -8 and run = 2, what is the slope?
-4
What process finds a derivative?
Differentiation
What is the derivative of x⁵?
5x⁴
What is the integral of 4x dx?
2x² + C
Which finds total accumulation: derivative or integral?
Integral