Search over 10,000 free study notes

If the second derivative of an equation is positive (d²y /dx² > 0), we can see that this point on a curve is a minimum. This is because, where the first derivative finds the grad...

For integration by parts, the integral is uv - ∫ u' v dx. First we take u = ln x and v' = 1. While we could have u and v' be the opposite at this stage, it becomes apparent later on that we can't do this ...

First Differentiate the equation to getdy/dx=6x+2Equal this to 0 to find the stationary pointdy/dx=0=6x+2 => 6x=-2=> x=-2/6=> x=-1/3
differentiate again to find the whether it is a maximum o...

Question:Particle P of mass m and particle Q of mass km are moving in opposite directions on a smooth horizontal plane when they collide directly. Immediately before the collision the spe...

3x²-(1/4)x^-2+3
Split the problem into three separate terms and integrate independently.With any term where x is to the power of something, divide the coefficient by the value of...