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ROCKN3OH3STYLE

  • 11 months ago

If f(x) = 4x^2 -3x+1, find (f(x+h)-f(x))/(h))

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  1. RolyPoly
    • 11 months ago
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    For f(x+h), replace all x by x+h in 4x^3 -3x+1. For f(x), it's just 4x^3 -3x+1. \[ \frac{f(x+h)-f(x)}{h} = \frac{(4(x+h)^3 -3(x+h)+1) - (4x^3 -3x+1)}{h} =...\]

  2. douglaswinslowcooper
    • 11 months ago
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    Since this is how you get the derivative for small h, you should find answer close to 12x^2 - 3.

  3. ROCKN3OH3STYLE
    • 11 months ago
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    okay I wrote the wrong equation b4, but I just corrected it. What is the next step after I write out: (4(x+h)^2 -3(x+h)+1)-(4x^2 -3x+1)/h)

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