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f(x) = 5cos(x) + 4sin(x)to find f^,(x) this is just another notation for the derivative.To differentiate trigonometry I always use this one simple trick which I will show on th...

This is a quadratic inequality, because we have an x² term, so we answer this question by examining the graph of the associated equation y = x² - 9, and then find out where this grap...

Firstly, to find the stationary points of a curve you must differentiate the equation of the curve. To do this each x component is multiplied by its current power and then the power is decreased by one. A...

∫(cos² 2x *sin³ 2x)dx u = cos2x - u =(du/dx) = -2sin2x - differentiate u dx = du/(-2sin(2x)) - dx = -1/2 ∫cos²2x * sin²2x du - sub in dx-1/2 ∫u²(1-u<...

This equation has no real roots, as when we test the equation with the formula b² - 4ac, we get 2² -415 = 4 - 20 = -16. As this is negative we can be assured that this equat...