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cos(2x) - 2x*sin(2x)

For the line and the curve to intersect we need the for the following system of equations to have a solution. y = 3x AND y = x² - aThe solutio...

For f(x) to be an increasing function at x, the derivative of f(x) must be greater than 0. So, the answer to this question will be revealed by solving the equation f'(x) > 0 for x.By differentiating th...

32x(4x^2 + 3)^3

Firstly, I would remember what differentiation shows - which is the rate of change of a function. I would think about how I could use this to show it's always increasing. Now the first derivative would sh...