Question

Find the derivative of y with respect to the independent variable


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Answer 1

\[y = 5^{\cos \pi \theta} \]

Answer 2

Hey Rjaza!
Do you remember how to take the derivative of an exponential when the base `is not e`?

Answer 3

\[\Large\rm y=a^x\]\[\Large\rm y'=a^x \ln a\]This look familiar?
It even applies to our e^x derivative:\[\Large\rm y=e^x\]\[\Large\rm y'=e^x \ln e\]But natural log of e is simply 1, so we don't bother writing it.

Answer 4

Given this function:\[\Large\rm y=5^{stuff}\]Differentiating will give us:\[\Large\rm y'=\left(5^{stuff} \ln5\right)(stuff)'\]We have to chain rule, yes?

Answer 5

@zepdrix so sorry for the delayed response!! I was working on my review :(

Answer 6

my final answer is...