Asked by Maria
what is the derivative of x^2(x^2-4)
Answers
Answered by
Steve
Do this in either of two ways
Expand the polynomial first:
f = x^4 - 4x^2
f' = 4x^3 - 8x
Or, use the product rule:
f = x^2 (x^2 - 4)
f' = 2x (x^2 - 4) + x^2 (2x)
= 2x^3 - 8x + 2x^3
= 4x^3 - 8x
Expand the polynomial first:
f = x^4 - 4x^2
f' = 4x^3 - 8x
Or, use the product rule:
f = x^2 (x^2 - 4)
f' = 2x (x^2 - 4) + x^2 (2x)
= 2x^3 - 8x + 2x^3
= 4x^3 - 8x
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