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Derivative Calculator

Differentiate polynomials, trig, exponential, and log terms with the rule used for each.

f′(x) =

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    Supports: numbers, x, x^n, sin(x), cos(x), exp(x), ln(x), sqrt(x) — added and subtracted.

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    What Is Derivative Calculator?

    The Derivative Calculator differentiates polynomials, trigonometric, exponential, and logarithmic terms, naming the rule applied to each one. Type a function like 3x^3 - 2x + sin(x) and get f′(x) with a per-term breakdown that teaches as it answers.

    Who Uses the Derivative Calculator?

    Calculus students and self-learners use it to check differentiation homework and to memorize which rule applies where.

    How to Use the Derivative Calculator

    1. Type the function of x using ^ for powers.
    2. Read f′(x) with each term differentiated separately.
    3. Review the named rule under every step.

    Why Choose Our Derivative Calculator?

    • Power, trig, exponential, and log rules covered
    • Every term shows the rule used, building intuition
    • Clear errors for unsupported notation

    Try the Derivative Calculator above — it is free, fast, and works on any device. Bookmark this page to return whenever you need it.