Question

EXAMPLE 2.18
Consider the function y = x². Calculate
the derivative dy/dx
using the concept of
limit, at the point x = 2.​

Answer 1

Answer: 4

Explanation:

Dy/dx = lim(h=0) f(x+h)-f(x)/h

D(x^2)/dx = lim(h=0) (x+h)^2-x^2/h

= 2x

Therefore Dy/dx at x=2

= 2x=2*2= 4