Differentiate a polynomial f(x) at a point using exact rules or numeric fallback.
Also known as: differentiate an explicit function calculator, derivative calculator, differentiate an explicit function, calculus math, calculus differentiate an explicit function
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f′(1.0000)
0.000000
f(1.0000) = 0.000000
f(x) = 2.0000x^6 −3.0000x^5 + x^3 → f′(x) = 12.0000x^5 −15.0000x^4 + 3.0000x^2
Steps
| Step | Detail |
|---|---|
| 1 | f(x) = 2.0000x^6 −3.0000x^5 + x^3 |
| 2 | f′(x) = 12.0000x^5 −15.0000x^4 + 3.0000x^2 (power rule) |
| 3 | f′(1.0000) = 0.000000 |
Differentiate a polynomial f(x) at a point using exact rules or numeric fallback. d/dx (a·xⁿ) = n·a·xⁿ⁻¹. Sum rule applies term by term.
d/dx (a·xⁿ) = n·a·xⁿ⁻¹. Sum rule applies term by term.
f(x) = x³ − 3x → f′(x) = 3x² − 3.
Enter polynomial coefficients; use numeric mode for other forms in advanced tools.