Search over 10,000 free study notes

Use the product rule: Let   u = cos3x ,     v = cosec4x Then du/dx = -3sin3x , dv/dx = -4cosec4xcot4x  (standard result, given in the formula booklet) Hence dy/dx = -4cosec4xcot4xcos3x - 3sin3xcosec4x . (...

• Think about which process we need to determine the turning point? - Differentiation 

• Think about the form of the given function. - Product of two functions, so use Product Rule...

When you are asked to integrate a function f(x), you are really being asked the question: "what function F(x) exists such that when you take its derivative, you are left with f(x)?"

Let u...

We know that d / dx (x) = 1. Looking at x^2 as a specific example, and using the product rule, we see that d/dx(x^2) = xd/dx(x) + d/dx(x)x = x + x = 2x. Similarly for x^3, d/dx(x^3) = 3 * x^2 * d/dx(x) = ...

Rearrange first equation to show y=-5/3x-1

lines are parallel therefore gradient is the same

m=-5/3