Differentiate 3x^2 + 6x^5 + 2/x

dy/dx= 6x + 30x^4 - 2/x^2

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Show that the equation 2sin^2(x) + 3sin(x) = 2cos(2x) + 3 can be written as 6sin^2(x)+3sin(x) - 5 = 0. Hence solve for 0 < x < 360 degrees. Giving your answers to 1.d.p.


How do I solve a quadratic equation?


The line l1 has equation 2x + 3y = 26 The line l2 passes through the origin O and is perpendicular to l1 (a) Find an equation for the line l2


Use integration by parts to find ∫ (x^2)sin(x) dx. (A good example of having to use the by parts formula twice.)