Polynomial derivative at a point
Calculate polynomial derivative at a point and see the working behind your result.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
p=ax³+bx²+cx+d ⇒ p′=3ax²+2bx+c
Variables & units
- Cubic coefficient · a
- Numeric value · minimum -1000000, maximum 1000000
- Quadratic coefficient · b
- Numeric value · minimum -1000000, maximum 1000000
- Linear coefficient · c
- Numeric value · minimum -1000000, maximum 1000000
- Constant · d
- Numeric value · minimum -1000000, maximum 1000000
- Evaluate derivative at x
- Numeric value · minimum -1000, maximum 1000
Worked example
For p(x)=x³, the derivative at x=2 is 12.
Assumptions
This evaluates the derivative of a real polynomial of degree at most three; it is not an arbitrary-expression algebra system.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
Use the default input values to find the answer. The reset icon restores those values.
Calculated on your device. Your latest 100 calculations stay in this browser.