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Using integration by parts, answer = 1/4x⁴lnx - 1/16x⁴ + C

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3

To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2

=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 ...