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freckles

  • 4 years ago

Use the formal definition of derivative here: Find f'(x) if \[f(x)=sqrt{x^4-x}+2\].

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  1. freckles
    • 4 years ago
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    \[f(x)=\sqrt{x^4-x}+2\]

  2. StArAnGeL
    • 4 years ago
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    \[f'(x)=\frac{d}{dx}\sqrt{x^4-x}+ \frac{d}{dx}(2)\]\[f'(x)= \frac{1}{2\sqrt{x^4-x}} \frac{d}{dx}(x^4-x)+ 0\]\[f'(x)= \frac{1}{2\sqrt{x^4-x}} (4x^3-1) \ or \ f'(x)= \frac{4x^3-1}{2\sqrt{x^4-x}} \]

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