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A curve has equation y = 20x -x^(2) - 2x^(3). The curve has a stationary point at the point M where x = −2. Find the x coordinates of the other stationary point.

First you must differentiate the given equation. This give you 20-2x-6x 2 . Since we are told that one of the stationary points is at x=-2, this is one of the factors of the differential equation. Meaning th...
LW
Answered by Lawrence W. • Maths tutor
4128 Views

Why do you get e^x when you differentiate e^x

It all comes down to the how e is defined. e=1+(1/1!)+(1/2!)+(1/3!) all the way up to (1/infinity). e^x is equal to 1 + (x/1!)+((x^2)/2!)+((x^3/3!)) and again continues on to ((x^infinite)/factorial of infin...
CE
Answered by Curtis E. • Maths tutor
3957 Views

Integrating sin^5(x)cos(x) (in slow logical steps)

Step 1: Make a substitution for u=Sin(x) differentiate that function to show du/dx =Cos(x)Step 2: Rearrange for dx to show dx=1/Cos(x) du and replace the dx in your original integral to show (integral symbol...
CE
Answered by Curtis E. • Maths tutor
3827 Views

What are logarithms and how do you manipulate them?

A logarithms are the 3rd way of representing the interactions between bases and powers.To start we will cover basic algebra about powers or exponents. base exponent = answer , 3 2 = 9 This is the same as wri...
AS
Answered by Ashley S. • Maths tutor
4133 Views

Solve for x when |x-1|<|2x+3|

A graph is always helpful when dealing with this kind of problems. The first thing to do when sketching is to find the intersection with the axis. Ignore the modulus function for the moment. Then flip what's...
QZ
Answered by Qinyu Z. • Maths tutor
4646 Views