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Integrate 1/x

ln|x| + c
GG
Answered by George G. • Maths tutor
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How do I use simple integration?

It's a simple process once you know the basics behind it.Let's take X 2 We have been asked to integrate this.The first thing is to always add 1 on to the power.X 3 Next thing is to divide by that same power....
JA
Answered by Jamaal A. • Maths tutor
3449 Views

Find the gradient of y^2 +2xln(y) = x^2 at the point (1,1)

The key point in this question is noting that implicit differentiation is a very useful tool, although it is slightly different and looks much scarier than differentiating y = f(x).To do the question, a mix ...
MP
Answered by Mark P. • Maths tutor
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How do i know where a stationary point is and what type of stationary point it is?

Stationary points are points on a curve where the gradient is zero. There are three types of stationary point maximum, minimum and point of inflexion. (will draw diagrams). They can be found by differentiati...
OH
Answered by Omar H. • Maths tutor
4100 Views

A ball is thrown in the air. The height of the ball at time t is given by: h=5+4t-2t^2. What is its maximum height? At what time does the ball reach this height?

First, we find the derivative of h: dh/dt= 4-4t. To find the point(s) of interest, we solve dh/dt=0. This gives the answer t=1. In order to determine whether t=1 is a minimum point or maximum point we find t...
DS
Answered by Debbie S. • Maths tutor
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