
Derivatives made no sense until StudyPug. The step-by-step videos finally clicked. Went from D to B+ in six weeks.
Alex Kim

The complete learning system to master High School Calculus

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Thousands of practice questions with step-by-step solutions

Choose your Common Core grade (K-12) and current math topics.

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Work through similar problems until concepts stick.

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Common Core ID | Standard | StudyPug Topic |
|---|---|---|
Concept of Limits | Understand limits graphically and numerically; evaluate basic limits using substitution |
Continuity | Determine continuity at a point and identify types of discontinuities |
Limits at Infinity | Find limits at infinity and describe end behavior of functions |
Derivative Concept | Understand derivative as rate of change and slope of tangent line |
Derivative Rules | Find derivatives using power rule; product rule; quotient rule; and chain rule |
Derivatives of Special Functions | Find derivatives of trigonometric; exponential; and logarithmic functions |
Implicit Differentiation | Find derivatives of implicitly defined functions |
Tangent Lines | Find equations of tangent lines and use for linear approximation |
Critical Points and Extrema | Find critical points; local maxima and minima; and solve optimization problems |
Curve Analysis | Analyze increasing/decreasing behavior and concavity; sketch curves using derivatives |
Related Rates | Solve related rates problems in real-world contexts |
Motion and Rates | Apply derivatives to velocity; acceleration; and other rate problems |
Antiderivatives | Find antiderivatives of basic functions and use initial conditions |
Riemann Sums | Approximate definite integrals using left; right; and midpoint Riemann sums |
Fundamental Theorem of Calculus | Use FTC to evaluate definite integrals and find antiderivatives |
Basic Integration Techniques | Use substitution method to evaluate integrals |
Area Under Curves | Find area under curves and between curves using definite integrals |
Average Value | Calculate average value of functions over intervals using integrals |
High School Calculus Lessons
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Practice Problems
Common Core Standards

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Jordan Lee
Taylor Martinez
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Everything you need to know about mastering High School Calculus with StudyPug
What does High School Calculus coverage include?
Complete calculus curriculum with video lessons on limits, derivatives, integrals, and applications. Includes practice problems, step-by-step solutions, and progress tracking for every topic.
How does photo search work for calculus problems?
Take a photo of any calculus problem, and StudyPug finds the exact lesson teaching that concept. It's like having a personal tutor who knows exactly what you need.
Are the teachers certified US educators?
Yes! Our teachers are certified US educators who understand Common Core curriculum and create lessons specifically for High School Calculus standards.
Can I use StudyPug on my phone or tablet?
Absolutely! StudyPug works on desktop, tablet, and mobile. Your progress syncs automatically so you can learn calculus anywhere.
How will StudyPug help me prepare for SAT and AP exams?
We include SAT and AP-style practice questions and teach the exact calculus concepts you need. Students report significantly improved test scores and confidence.

10,000+ questions adjust to your exact skill level. Never run out of problems that challenge you.

See mastery percentage for every topic. Parents get weekly progress emails automatically.

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Time spent, problems solved, concepts mastered. Identify exactly where more practice is needed.