Search over 10,000 free study notes

We can find dz/dy using chain rule dz/dy=dz/du x du/dy (1) by defining u=3y^2+5 (since the exponent of e is a function of y we call this function u) and rewrite z=e^u. Then, we find dz/du=e^u (2) and du/d...

This function is fraction so the easiest method is to use the quotient rule (though the product rule can be used). Recall the quotient rule dy/dx = [vu' - uv']/[v^2]Note, u and v refer to the numerator a...

Start by drawing a diagram with all of the information from the question on it, as well as the forces acting on the particle. As forces can be divided into their component parts, we can look at the questi...

When integrating an equation we can treat each variable individually. Lets start with 4x^3, when integrating, we raise the power (in this case 3) by +1 and divide the multiple (in this case 4) by the new ...

First we should simplify the expression to be able to integrate it. We should separate the expression to 2 parts. Now we have the following: 2/x^2 + 4xWe can bring the x^2 to the top,now we have the follo...