The Power Rule for Polynomials (Grade 11)
Free printable Grade 11 Mathematical Methods worksheet: differentiating polynomials term by term with the power rule. Every derivative cross-checked numerically.
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Grade 11 · Math worksheet
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Date
Math
Differentiation: The Power Rule for Polynomials
Differentiate each polynomial term by term using the power rule d/dx[a x^n] = a n x^(n-1). Remember the derivative of a constant is 0.
- 1.Differentiate: f(x) = -
- 2.Differentiate: f(x) = 6x^4
- 3.Differentiate: f(x) = 5x^5
- 4.Differentiate: f(x) = -4x^6
- 5.Differentiate: f(x) = -4x^2 + 2x + 2
- 6.Differentiate: f(x) = -4x^3 - 6x^2 + x - 4
- 7.Differentiate: f(x) = 4x^2 - 6x - 2
- 8.Differentiate: f(x) = - + 6x^2 + 6x + 1
- 9.Differentiate: f(x) = 4x^3 + 3x^2 + 3x
- 10.Differentiate: f(x) = - 3x + 6
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