Unit Converters · Free tool
Derivative Calculator
Symbolic derivative for polynomials in x. Free online tool that accepts 3x^2 + 2x - 5 style input and returns f'(x) in pretty form instantly. No sign-up.
f(x)
3x2 + 2x - 5
f′(x) — derivative
6x + 2
Supported syntax
3x^2 + 2x - 5 — coefficients optional, signs OK
x^4 — leading coefficient of 1 is implicit
-x^3 + 2x — leading minus + bare x OK
Use ^ for powers (** also works). Single variable x only.
Advertisement
What it does
Symbolic derivative for polynomials in x — handles coefficients, signs, and exponents. Use ^ for powers (x^3), and standard +/− between terms.
For multi-variable or transcendental functions, use a CAS. For numerical derivatives at a point, the symmetric difference quotient is a 2-line implementation.
Embed this tool on your siteShow snippetHide
Paste this snippet into any page. Loads on-demand (lazy), no tracking scripts, and sized to most dashboards. Replace the height to fit your layout.
<iframe src="https://freetoolarena.com/embed/derivative-calculator" width="100%" height="720" frameborder="0" loading="lazy" title="Derivative Calculator" style="border:1px solid #e2e8f0;border-radius:12px;max-width:720px;"></iframe>How to use it
- Type the polynomial in 3x^2 + 2x - 5 style.
- Click a sample for a quick test.
- Result shows both f(x) and f′(x) in pretty form.
Advertisement
Learn more
Guides about this topic
- Using Our Tools · GuideHow to calculate days between two datesCalendar, business, and trading days, inclusive/exclusive endpoints, leap years, 30/360, time-zone gotchas, ISO format tips. Free online guide. No sign-up.
- Using Our Tools · GuideHow to convert between unitsQuickly convert length, weight, volume, and temperature with offset math. Free, instant guide clarifies US vs UK gallons, data sizes, and ton variants.
- How-To & Life · GuideHow to convert between speed unitsUnit families, conversion factors, pace vs speed, context per unit, significant figures, Beaufort scale, common mistakes. Free online guide. No sign-up.
- How-To & Life · GuideHow to read Roman numeralsParse seven letter values, subtractive rule, and large-number edge cases free online. Convert Roman numerals to numbers instantly with no signup required.
- How-To & Life · GuideHow to calculate ratiosLearn part-to-part vs part-to-whole, GCD simplification, scaling recipes, cross-multiplication, and common ratio traps in word problems. Free, no sign-up read.
- How-To & Life · GuideHow to work with fractionsFind common denominators, convert mixed vs improper, multiply, divide, and simplify with GCD. Free online fractions guide with instant examples. No signup.
Explore more unit converters tools
- Ratio CalculatorSimplify, compare, and scale ratios for recipes, mixing, or design work. This free online ratio calculator works instantly with no signup or download needed.
- Prime Number CheckerTest any number for primality and find all its factors instantly in your browser. Free, no-registration tool for fast math checks.
- Time Duration CalculatorCalculate the precise hours, minutes, and seconds between two times. Essential for timesheets and podcasts, available online for free with no download.
- Date Difference CalculatorCalculate the exact number of days, weeks, months, or years between any two dates instantly. A free, private, and mobile-friendly online calculator.
- pH CalculatorConvert between pH, pOH, [H⁺], and [OH⁻] at 25°C in one click. Color spectrum shows acidic, neutral, or basic instantly. Free, browser-only, no sign-up.
- Dilution CalculatorSolve for any of C₁, V₁, C₂, V₂ using the dilution equation. Free online calculator that includes the solvent volume needed for the diluent. No sign-up.