Diff Y2 | Revision Server | Page 1

cerulean dune Nov 25, 2025, 11:54 AM

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Yk for bc this q, would the answer be 4ln1/3x.(1/3)^x or would it be what it says in the solution bank-attached below

wraith hawk Nov 25, 2025, 4:01 PM

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generally, d/dx a^x = lna×(a^x)
therefore d/dx 4(1/3)^x
= 4ln(1/3)×(1/3)^x

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doesn't matter where the 4 is, as its a constant

cerulean dune Nov 25, 2025, 4:02 PM

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Ahhhh ok

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The 4 can be anywhere then

wraith hawk Nov 25, 2025, 4:03 PM

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yeah we're allowed to move constants because multiplication is commutative

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commutative means can change the order and get the same result

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