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=2e^2x 

Rule: f(x)= e^kx

         f'(x)= ke^kx

Radians are a unit of measurement. They work in the same way that we use ounces to measure mass or metres to measure length. Radians are however used to measure angles, the more common unit of measuring a...

First of all, we have to use the product rule, since two things are multiplied together.  The product rule states that d/dx (u*v) = vu' + uv'

Let u = (4x+3)⁵  v = sin(2x)

Now, to ...

x^2+5x+6=0 When solving quadratic equations our goal is to revert back into the form (x+a)(x+b) from the form ax^2+bx+c Thus we need to have a method when completing this: A good method in this case is th...

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...