Product rule, help please! Watch

TheGreatPumpkin
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6) f(x) ≡ x^3/2 (x − 3)^3 , x > 0
a) Show that f ′(x) = k x^1/2 (x − 1)(x − 3)^2 , where k is a constant to be found.

The closest thing I have is (3x^1/2 (x-3)^2)/2 * [(x+3)(x-1)]
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FutureMedic97
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The way I remember the product rule is that you differentiate one and leave the other one and then put a + and then do the opposite (so differentiate the one you didn't and leave the one you did)
You have to also remember that you also have to use the chain rule in this question
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TheGreatPumpkin
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(Original post by FutureMedic97)
The way I remember the product rule is that you differentiate one and leave the other one and then put a + and then do the opposite (so differentiate the one you didn't and leave the one you did)
You have to also remember that you also have to use the chain rule in this question


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Here's a photo of my working out:
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ghostwalker
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(Original post by TheGreatPumpkin)
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Here's a photo of my working out:
Simplify what you have in the square brackets, and then you'll be able to take out a factor.
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