determine-the-derivative-of-the-function-fx2x3fleftxright2x3-using-the-definitio

Question

Determine the derivative of the function $f of x equals 2 x cubed$ using the definition:

$f^{'} (x) = \lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$

Accepted Answer

$f prime of x equals 6 x squared$

Answer

$f prime of x equals 6 x squared$

Answer

$f prime of x equals 6 x squared$

Answer

$f prime of x equals 6 x squared$

Determine the derivative of the function f(x)=2x3f\left(x\right)=2x^3 using the definition:f′(x)=limh→0 f(x+h)−f(x)hf^{\prime}\left(x\right)={\displaystyle\lim_{h\to0}}\text{ }\frac{f\left(x+h\right)-f\left(x\right)}{h}