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tanh(x) = ((e^x-e^-x)/2)/((e^x+e^-x)/2) 1 - tanh²(x) = 1-((e^x-e^-x)/(e^x+e^-x))²  = ((e^2x+...

2cos(2x) = 1-2sin(x)

2(1-2sin²(x)) = 1-2sin(x) -- by our trigonometric functions

2-4sin²(x) = 1-2sin(x)

4sin²(x)-2sin(x)-1=0 -- rearrange

sin(x...

The importance of Law reports within the English Judicial System stem from a variety of interlinking factors, primarily that a core principle of the Legal System is that “the Law is for all” and thus shou...

Okay so, first of all the product rule in itself is fairly simple. Take the product of a function "u" and a function "v" to be a compound function. You can write this as "uv"...

You would have to rewrite 25 as 5^2 hence 25^x = (5^2)^x = 5^(2*x).

Then 5^(2x) = 5^(4x+1) and therefore 2x = 4x + 1 hence 2x = -1 hence x = -1 / 2.