Answers>Maths>IB>Article

What does differentiation actually mean?

Differentiation is defined as the rate of change of a function. Imagine we had a function f(x), which we shall let equal x2. We all know what the graph of xlooks like.

The derivative of xis 2x. This means that, as the variable x increases, the gradient increases by 2x. In graphing a derivative, effectively the gradient is on the y axis, hence the steeper the curve of y, the higher the derivative.

Answered by Toby T. Maths tutor

2730 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

Find the coordinates that correspond to the maximum point of the following equation: y = −16x^2 + 160x - 256


Given the function f(x)=λx^3 + 9, for λ other than zero, find the inflection point of the graph in terms of λ. How does the slope of the line tangent to the inflection point changes as λ varies from 0 to 1?


How do I find the derivative of 2^x?


Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x​​​​​​​=0


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