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

1004 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

How do I derive the indefinite integral of sine?


How do I solve the equation "2cos(x) = sin(2x), for 0 ≤ x ≤ 3π"?


Differentiate implicitly with respect to x the equation x^3*y^5+3x=8y^3+1


Let f (x) = sin(x-1) , 0 ≤ x ≤ 2 π + 1 , Find the volume of the solid formed when the region bounded by y =ƒ( x) , and the lines x = 0 , y = 0 and y = 1 is rotated by 2π about the y-axis.


We're here to help

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