When you differentiate f(x) = (1/2 x)^5 , the answer is listed as 5/32 x^4.
I'm unclear of why it wouldn't be 5/2 x^4. I see that the 2 in the denominator is raised to the fifth power when this happens. Which rule is this an example of? I didn't see any examples of this in my calculus book.
I'm unclear of why it wouldn't be 5/2 x^4. I see that the 2 in the denominator is raised to the fifth power when this happens. Which rule is this an example of? I didn't see any examples of this in my calculus book.
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Since 1/2 is in parethesis, it is raised to the 5th power, the equation becomes (1/32)*x^5
Then just get the derivative which will be (5/32)x^4
Then just get the derivative which will be (5/32)x^4