STEM
Calculus, step by step
Calculus problems are solved with every rule named as it is applied, whether that is the chain rule, integration by parts or L'Hôpital's rule.
Coverage
Topics we cover
- Limits and continuity
- Differentiation rules
- Applications of derivatives
- Definite and indefinite integrals
- Series and convergence
- Differential equations
Worked example
CalculusSolved
Question
Find d/dx of f(x) = x³ · sin(x)
- Step 1: Apply the product rule: (uv)′ = u′v + uv′
- Step 2: u = x³ gives u′ = 3x², and v = sin(x) gives v′ = cos(x)
- Step 3: Combine: 3x² · sin(x) + x³ · cos(x)
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