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= xlnx - the integral 1/x X x with respect to x= xlnx - the integral of 1 with respect to x= xlnx - x + c

a)starting from ax²+bx+c=0, divide through by a, x²+(b/a)x+c/a=0, complete the square (x+(b/2a))²-(b/2a)² +c/a=0, expand (x+(b/2a))²-(b²/4...

dy/dx=6cos2x-8sin2xExplanation: cos x difrentiates to -sinx, we must times the coefficient of cos2x,(4) , by the differential of 2x (ie 2), giving -(4x2)sin2x.Similarly, sinx differentiates cosx, so using...

In order to find the stationary points we need to find the first derivative, set it to 0 and solve for x. We can then use this value to find the value for y.y = e^{(3x-x^3)}We know for the derivat...

To solve a question we want to get the x terms and one sides, the variables, and the numbers on the other side, the constants.7x + 6 > 1 + 2xSubtract 2x from 7x so we only have x terms on the left hand...