# Calculus (PA Core) Practice

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• Questions 1,480
• Vocabulary Terms 111
• Instructional Videos 41

### Test Standards

1. (C.1.1) Limit concept
2. (C.1.10) Point continuity
3. (C.1.11) Discontinuities
4. (C.1.12) Intermediate Value Theorem
5. (C.1.13) Extreme Value Theorem
6. (C.1.2) Limits by substitution
7. (C.1.3) Limits of expressions
8. (C.1.4) Limits of rational functions
9. (C.1.5) One-sided limits
10. (C.1.6) Limits at infinity
11. (C.1.7) Asymptotic behavior
12. (C.1.8) Special limits
13. (C.1.9) Limits and continuity
1. (C.2.1) Derivative concept
2. (C.2.10) Differentiability and continuity
3. (C.2.11) Mean Value Theorem
4. (C.2.2) Derivative definition
5. (C.2.3) Find derivatives
6. (C.2.4) Derivatives of expressions
7. (C.2.5) Chain rule
8. (C.2.6) Implicit differentiation
9. (C.2.7) Derivatives of inverse functions
10. (C.2.8) Higher order derivatives
11. (C.2.9) Logarithmic differentiation
1. (C.3.1) Slope at a point
2. (C.3.10) Straight line motion
3. (C.3.11) Related rates
4. (C.3.12) Newton-Raphson method
5. (C.3.2) Tangent line equation
6. (C.3.3) Increasing/decreasing intervals
7. (C.3.4) Local/absolute extrema
8. (C.3.5) Inflection and concavity
9. (C.3.6) Sketch graphs
10. (C.3.7) Inverse function derivative
11. (C.3.8) Optimization problems
12. (C.3.9) Rates of change
1. (MAFS.912.C.4.1) Approximate integrals
2. (MAFS.912.C.4.2) Riemann sums
3. (MAFS.912.C.4.3) Definite integral as a limit
4. (MAFS.912.C.4.4) Fundamental Theorem of Calculus
5. (MAFS.912.C.4.5) Apply the Fundamental Theorem
6. (MAFS.912.C.4.6) Properties of integrals
7. (MAFS.912.C.4.7) Substitution
8. (MAFS.912.C.4.8) Approximate definite integrals
1. (MAFS.912.C.5.1) Initial conditions
2. (MAFS.912.C.5.2) Separable differential equations
3. (MAFS.912.C.5.3) Growth and decay problems
4. (MAFS.912.C.5.4) Slope fields
5. (MAFS.912.C.5.5) Find areas
6. (MAFS.912.C.5.6) Average value
7. (MAFS.912.C.5.7) Solids
8. (MAFS.912.C.5.8) Model and solve problems