NeuralBlitz What I do
- Compute derivatives and integrals of functions
- Apply differentiation rules (product, chain, quotient)
- Solve optimization problems using derivatives
- Evaluate definite and improper integrals
- Apply Taylor series expansions
- Solve differential equations
When to use me
When analyzing rates of change, finding optimal values, or computing areas and accumulations.
Key Concepts
- Derivative: f'(x) = lim_{h→0} (f(x+h) - f(x))/h
- Chain Rule: (f∘g)' = (f'∘g)g'
- Fundamental Theorem: ∫_a^b f'(x)dx = f(b) - f(a)
- Taylor Series: f(x) = Σ f^{(n)}(a)/n! (x-a)^n
- Integration by Parts: ∫u dv = uv - ∫v du
- L'Hôpital's Rule: lim f/g = lim f'/g' for indeterminate forms