About Differentiator & Integrator
Master the rules of change. Our calculus aid provides interactive solvers for power, product, and chain rules, helping students apply the fundamental theorems of calculus correctly.
Differentiator & Integrator
Reference and solve derivative and integral problems using core calculus rules.
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Differentiator & Integrator
A comprehensive reference and rule solver for fundamental calculus operations.
Power Rule
d/dx [x⠿] = nx⠿⠻¹
Instant Example
d/dx [x³] = 3x²
Product Rule
d/dx [f(x)g(x)] = f'g + fg'
Instant Example
d/dx [x sin(x)] = sin(x) + x cos(x)
Chain Rule
d/dx [f(g(x))] = f'(g(x))g'(x)
Instant Example
d/dx [sin(x²)] = 2x cos(x²)
Fundamental Theorem of Calculus
The theorem states that differentiation and integration are inverse operations. If you integrate a function and then differentiate it, you return to the original function.
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