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You will have to use the Product Rule. The Product rule: when y=f(x)g(x), then dy/dx=f'(x)g(x)+f(x)g'(x). In this example, f(x)=sin(x) and g(x)=cos(x). Hence f'(x)=cos(x) and g'(x)=-sin(x). Using these an...

So we need to find common factors for each term: 6xyz, 24x²yz and 18xy³z². Let's start with the numbers. Do the numbers 6, 24 and 18 have a common factor? Yes, 6 . If we t...

First we need to eliminate one of the Variables, to have an equation dependant on one variable. The coefficient for y in equation two is a third of the coefficient of the y in the second equation. Therefo...

We can find the longest side of a right angled triangle (also called the hypotenuse) by using Pythagoras' Theorem and considering the lengths of the two other sides given to us. Pythagoras' Theorem is wri...

dy/dx = 2xcos(x²+2)