contestada

Find dy/dx (the derivative ) of f(x) = 4x
2
using
limits definition of the derivitive (of limit of the
DQ when h­­> 0
Formulas needed
a) Equation of a line in slope­yintercept form y = f(x) = mx + b
b) Equation of a line slope­point y ­ y1 = m (x ­ x1)

Respuesta :

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

Derivative of a function

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

Learn more on derivative here: https://brainly.com/question/416343