Could it be impossible to find derivative by basic definition?

Stramonium
Messages
2
Reaction score
0
(I am sorry, totally forgot about solving quadratic equations, close the topic please)

Homework Statement



Finding derivative of the equation like F(x) = 5x / (1+x^2) by definition (ƒ(a+h) - f (a))/h is easy (point 2;2), but I got really stuck in finding a way to solve it by basic definition ( f(y) - f(a) )/( x - a ) :(

It seems to me there are much more such equations. Is there any way to do it?
 
Last edited:
Physics news on Phys.org
Isn't that the same thing?
As far as I know, the basic definition of derivative is:
23b7112ec7aa5d19157cf84bd3b392e8.png
 
The same, I just had difficulties with canceling equation derived from y - y1 / x - x1, because I totally forgot about solving quadratic equations:( It seemed strange to me on that moment that I could solve the (f(h) - f(a)) / a, but not another form:) Close the topic please.
 
Topics are not closed without a good reason.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Lagrange multipliers understanding
Replies
8
Views
2K
Find f(x,y) given partial derivative and initial condition
Replies
6
Views
2K
Derivative of -x using first principle
Replies
5
Views
2K
Finding where a function is sign definite, sign indefinite or sign semidefinite
Replies
2
Views
1K
Uniform convergence of a sequence of functions
Replies
3
Views
2K
Find Values of Osculating Circle Tangent to a Parabola
Replies
4
Views
1K
Proving that a "composition" is harmonic
Replies
2
Views
2K
Show that this graph isn't differentiable at x=1
Replies
22
Views
2K
Limit definition of derivative problem
Replies
2
Views
2K
Derivative as a Limit: Finding dy/dx for y = √(2x+3)
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top