Polynomial Derivative Worksheet Generator
Every problem is a polynomial in x with integer coefficients. The answer key applies the power rule term by term, giving f'(x) in fully simplified polynomial form.
Frequently asked questions
What is the power rule?
d/dx (x^n) = n·x^(n−1). For a polynomial, apply it term by term and the constant disappears because d/dx (constant) = 0.
Do the polynomials include fractional exponents?
No — only non-negative integer exponents, so the practice stays focused on the power rule with whole-number powers.
What if a coefficient is negative?
Negative leading or middle coefficients appear freely. The answer key handles the signs cleanly in surd-free form.