SOLUTION: Differentiation question: y=(1+5x)^3. Find dy/dx

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Question 417393: Differentiation question: y=(1+5x)^3. Find dy/dx
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
We differentiate this type of expression in the following way:
Let u+=+1%2B5x, then we have y+=+u%5E3
We want to find dy%2Fdx+=+%28dy%2Fdu%29%2A%28du%2Fdx%29
dy%2Fdu+=+3u%5E2 and du%2Fdx+=+5
Thus dy%2Fdx+=+3%281%2B5x%29%5E2%2A5+=+15%281%2B5x%29%5E2