Answers>Maths>IB>Article

what is the geometrical meaning of the derivative of a function f?

The derivative of a function f(x), usually denoted as f'(x), gives you the gradient of the graph of f(x) for every point x in the domain of f. Therefoore, the derivative of a funtion can show how fast/slow a function increases/decreases/fluctuates. So, for example, if you consider f(x)= 2x+3 , its derivative f'(x) is equal to 2 (f'(x)=2). This means that the gradient of the straight line f(x) is the same for all x and that it is increasing, since f'(x)=2>0.

Answered by Theodore G. Maths tutor

1081 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

A sequence of numbers have the property that x, 12, y, where x > 0, y > 0, form a geometric sequence while 12, x, 3y form an arithmetic sequence. A)If xy = k, find k. B)Find the value of x and y.


A team of four is chosen from six married couples. If a husband and wife cannot both be on the team, in how many ways can the team be formed?


How to I solve system of simultaneous equations (3x3)?


Prove 2^(n+2) + 3^(2n+1) is a multiple of 7 for all positive integers of n by mathematical induction.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences