Calculus Fundamentals
Dive into the core principles of calculus and unlock the mathematics that drive modern science and engineering.
Limits & Derivatives
Understand rates of change and instantaneous behavior through limits and differentiation.
- Limit Definition
- Basic Derivative Rules
- Product/Quotient Rules
Integrals & Applications
Explore accumulation and the Fundamental Theorem of Calculus through integrals.
- Definite & Indefinite Integrals
- Substitution Method
- Real-World Applications
Advanced Topics
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Multivariable Calculus
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Differential Equations
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Calculus in AI
Practice Problems
Find the derivative:
f(x) = 3x4 - 7x2
Show Solution
f'(x) = 12x3 - 14x
Evaluate the integral:
∫ from 0 to 2 of 3x2 dx
Show Solution
= (x3) from 0 to 2 = 8 - 0 = 8