Trigonometric Derivative, Solving f'(x)=2f(x)

[SpaceTsunami]

I've solved a, and got f'(x)=-2csc^2(x)cot(x), but now I'm confused as how to solve b.

 

[Deleted member 4993]

View attachment 19139
I've solved a, and got f'(x)=-2csc^2(x)cot(x), but now I'm confused as how to solve b.

Please share your detailed work for part (a)

hint for part (b):

if F(y) =e^(n*y)

\(\displaystyle \frac{dF(y)}{dy} = ?\)................. Parts (a) & (b) of the question are not related.

I probably interpreted the problem [part (b)] incorrectly. See response #3 below.

 

[pka]

View attachment 19139
I've solved a, and got f'(x)=-2csc^2(x)cot(x), but now I'm confused as how to solve b.

For part b) can you solve: \(2\csc^2(x)=2\cot(x)\csc^2(x)~?\)