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Derivative Calculator
Differentiate polynomial functions of x symbolically using the power rule. Get higher-order derivatives, parse diagnostics, step-by-step working, and point evaluation at chosen x values.
How to use this tool
- Write your function as a polynomial in x with powers using ^, like 4x^3 - 2x + 7.
- Read through the symbolic derivative f'(x) and each power-rule differentiation step.
- Optionally plug in an x value to see the slope or gradient at that point.
Perfect online derivative calculator for calculus homework
- Use this derivative calculator to check manual differentiation of polynomials in seconds.
- See a plain-English explanation for each term's derivative using the power rule.
- Use the evaluation feature to understand slopes of tangent lines and gradients at specific x values.
What this derivative calculator supports
- Polynomial expressions in x composed of constants and terms like 3x^2, -4x, or 7.
- Any real coefficients and whole-number powers using the standard power rule.
- Automatic ordering and simplification of the derivative for clean final answers.
FAQ
- Does this step-by-step derivative calculator handle trig functions or ln(x)?
- This version focuses on polynomial functions of x. For trig, exponentials, and logs, consider rewriting into polynomial form where possible or use the scientific calculator for numeric checks.
- Can I use a different variable instead of x in the derivative calculator?
- The parser expects x as the variable. If your problem uses another letter, substitute x in its place when typing the expression.
- What happens with fractional or negative powers?
- Non-integer powers are not fully supported in this symbolic derivative tool. Stick to whole-number exponents for reliable step-by-step working.
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