Search over 10,000 free study notes

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...

Let X be the random variable for this question. P(X=x) = 1/3 for all x. When X=x, we have that it took x times for us to retrieve the correct key.Thus, we have the infinite sum 1/3 + 22/31/3 + 3*...

firstly, glucose is converted into glucose phosphate and then into glucose biphoshate through phosphorylation. This process turns two molecules of ATP to ADP. This is then split into two molecules (3 carb...

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...

First we use the product rule, so we multiply x by the derivative of (x+3)⁵. To find the derivative of (x+3)⁵ we use the chain rule. So we have 5(x+3)⁴. So the first part...