AP Calculus AB - Important Formulas/Theorems

Front

What is the formula for the volume of a solid of revolution using washers when revolving around a vertical line?

Back

Front

What is the formula for the volume of a solid of revolution using washers when revolving around a horizontal line?

Back

Front

State the Fundamental Theorem of Calculus.

Back

Front

What is the definition of a derivative?

Back

Front

What are the hypotheses of the Mean Value Theorem (MVT)?

Back

The hypotheses of the MVT are: 1) The function must be continuous on the closed interval [a, b]. 2) The function must be differentiable on the open interval (a, b).

Front

What is the formula for the area under a curve using definite integrals?

Back

Front

What is the relationship between the derivative and the slope of a tangent line?

Back

The derivative of a function at a point gives the slope of the tangent line to the graph of the function at that point.

Front

What is the formula for the volume of a solid of revolution using disks when revolving around a horizontal line?

Back

Front

What is the difference between Riemann sums and definite integrals?

Back

Riemann sums approximate the area under a curve by summing the areas of rectangles, while definite integrals provide the exact area under the curve.

Front

What is the Mean Value Theorem?

Back