Calculus Calculator

Complete calculus toolkit: derivatives, integrals, limits, series, and more with detailed step-by-step solutions.

Select Calculus Operation

Derivative

d/dx f(x)

Integral

∫ f(x) dx

Limit

lim f(x)

Series

∑ aₙ

Use ^ for exponents, * for multiplication, sin(), cos(), ln(), sqrt(), etc.

Quick Examples:

Calculus Calculator FAQ

What does a calculus calculator do?

A calculus calculator helps you solve mathematical problems involving derivatives, integrals, limits, and more. It simplifies complex expressions and provides step-by-step solutions to assist with learning and verification.

Can it show steps for derivatives and integrals?

Yes! Many calculus calculators show the steps taken to solve a derivative or integral, making it easier to understand the process. This is especially helpful for students learning calculus concepts.

Does it support both definite and indefinite integrals?

Absolutely. You can calculate both definite integrals (with upper and lower limits) and indefinite integrals (without limits), and get simplified results with or without constants of integration.

Is this tool suitable for beginners?

Yes, it’s beginner-friendly. Whether you're just starting with derivatives or tackling complex limits, the calculator breaks down each step clearly. It’s a great resource for students, teachers, and anyone reviewing calculus concepts.

Calculus Rules & Formulas

Derivative Rules

Power Rule

\[ \frac{d}{dx}[x^n] = nx^{n-1} \]

Product Rule

\[ \frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + f(x)g'(x) \]

Chain Rule

\[ \frac{d}{dx}[f(g(x))] = f'(g(x)) \cdot g'(x) \]

Quotient Rule

\[ \frac{d}{dx}\left[\frac{f(x)}{g(x)}\right] = \frac{f'(x)g(x) - f(x)g'(x)}{[g(x)]^2} \]

Common Derivatives

\[ \frac{d}{dx}[\sin x] = \cos x \]

\[ \frac{d}{dx}[\cos x] = -\sin x \]

\[ \frac{d}{dx}[e^x] = e^x \]

\[ \frac{d}{dx}[\ln x] = \frac{1}{x} \]

Calculator Tips

  • • Use parentheses for complex expressions
  • • Write multiplication explicitly: 2*x, not 2x
  • • Use ^ for exponents: x^2, not x²
  • • Functions: sin(), cos(), ln(), sqrt(), etc.
  • • Constants: pi, e are recognized

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