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posted by  babrfr7274 on 5/11/2008 11:38:19 PM  |  status: Closed  

Differentiation

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Differentiate:  6 In (4x+1)

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posted by dmu321 on 5/11/2008 11:46:06 PM  |  status: Live
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babrfr7274's comment:
"Excellent work, thank you."
Response Details:
is this supposed to be 6*natural log(4x + 1)?  That's how I'll do it
 
derivative of ln(x) is 1/x, so ln(4x+1) is just 1/(4x + 1)
 
But, because of the chain rule, the 4 comes out from the x, so it becomes 4/(4x + 1)
 
Now there is a constant (6) being multiplied, so the total derivative is 24/(4x + 1)
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