The Power Rule for Polynomials (Grade 12)
Free printable Grade 12 Mathematical Methods worksheet: differentiating polynomials term by term with the power rule. Every derivative cross-checked numerically.
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Grade 12 · 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) = -5x^4
- 2.Differentiate: f(x) = 2x^6
- 3.Differentiate: f(x) = -3x^6
- 4.Differentiate: f(x) = -
- 5.Differentiate: f(x) = - - 5x^2 + 4x - 5
- 6.Differentiate: f(x) = + 4x^2 - x + 4
- 7.Differentiate: f(x) = 2x^3 - 4x^2 - 3x - 1
- 8.Differentiate: f(x) = 2x^2 + 5x - 4
- 9.Differentiate: f(x) = -4x^2 - 5x - 6
- 10.Differentiate: f(x) = 2x^2 + 6x
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