Question

Let f(x)=log of 8 times (1−2x). Then f′(x):

Answer 1

\[Let f(x)=\log_{8} (1−2x). Then f'(x)\]

Answer 2

\[\Large f(x) = \log_{8}(1-2x)\]


\[\Large f^{\prime}(x) = \frac{d}{dx}\left(\log_{8}(1-2x)\right)\]


\[\Large f^{\prime}(x) = \frac{1}{(1-2x)\ln(8)}\frac{d}{dx}\left(1-2x\right)\]


\[\Large f^{\prime}(x) = \frac{-2}{(1-2x)\ln(8)}\]

Answer 3

Oh! I was multiplying it by positive 2. Makes sense. Thank you!

Answer 4

You're welcome, glad it makes sense.