• as the slope of a curve
• as a rate of change or difference quotient
• as a function
• how to calculate from the difference quotient
• power rule of differentiation
• product and quotient rules
• chain rule
• implicit differentiation
• formal definitions and theorems

The Derivative: how to calculate from the difference quotient

	Find the equation for the tangent line of 4x2 + 10x + 5 at the point (2,1) using the limit definition of the derivative © Dorothy Wallace
	To practice using the concepts just covered, try problem setOC04-05-Deriv-DiffQuot in the WeBWorK window. If you have not yet opened a WeBWorK window displaying all the problem sets, you can do so by clicking below, then Guest Login If necessary, click here to open a new WeBWorK window