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Type: Multiple-Choice
Category: Derivatives
Level: Grade 12
Author: nsharp1
Last Modified: a month ago

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Derivatives Question

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Grade 12 Derivatives

What is the derivative of [math]f(x) = 2sqrt(x^7) - 5root[4](x^3) + 9root[3](x^2) - 6/root[6](x^5)?[/math]
  1. [math]f'(x) = x^3 - 5/2 sqrt(x) + 9/2root[6](x) + 3/root[3](x^4)[/math]
  2. [math]f'(x) = 7sqrt(x^5) - 20/(3root[4](x)) + 3/(2root[3](x)) - 5/root[6](x^11)[/math]
  3. [math]f'(x) = 7sqrt(x^5) - 15/(4root[4](x)) + 6/root[3](x) + 5/root[6](x^11)[/math]
  4. [math]f'(x) = 14x^3 - 15sqrt(x)+ 18root[3](x) + 30/root[3](x^2)[/math]
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