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What is a derivative - Introduction to Calculus

Strictly speaking, the derivative is the rate of change of a function, process or pattern. 

So far, to calculate the gradient of a given function we always computed the change in the y coordi...

GM
1785 Views

In an arithmetic sequence, the first term is 2, and the fourth term is 14. a) Find the common difference, d. b) Calculate the sum of the first 14 terms, S14.

a) We have that a1 = 2 and a4 = 14, so the first thing that we can conclude is that the common difference, d, is positive, and that a2 and a3 are in between 2 a...

ZZ
Answered by Zhihong Z. Maths tutor
4044 Views

Given f(x)=(x^3-7)*(x+4)^5, find the term x^3 of f(x).

Before starting to solve this problem, student should acknowledge that there are more than a variable, which satisfies the condition x^3. There are two ways to obtain this answer: (1) x^3 in the first mul...

AH
Answered by Amina H. Maths tutor
1457 Views

What is the difference between a monopoly and monopolistic competition?

A monopoly is a relatively simple market structure. One firm is the single producer for the market, or serves the majority of customers. For this to occur there must be some kind of barrier which stops ot...

AR
18535 Views

(based on a case study) Should Shane outsource his employee training programme

Outsourcing is when a business subcontracts a process to another organisation. Turners, a famous hotel has found increasing difficulty keeping up with competitors and as such is considering whether outsou...

EW
2362 Views

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