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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
4058 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
3902 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
4224 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
4725 Views

How can I determine the characteristics of a curve on an x-y set of axis (eg. points of intersection, stationary points, area under graph)?

To determine the characteristics of a graph, we need to examine what we are been shown in the question. Below is an exam style question:By looking at both the graph and the equation, we can see that in the p...
EC
Answered by Ethan C. • Maths tutor
4399 Views