determine-the-derivative-of-the-function-fxfleftxright-4x44x4-using-the-definiti

Question

Determine the derivative of the function $f (x) =$ $4 x to the fourth power$ using the definition:

$f^{\prime}\left(x ight)={\displaystyle\lim_{h o0}} ext{ }\frac{f\left(x+h ight)-f\left(x ight)}{h}$

Accepted Answer

$f prime of x equals 16 x cubed$

Answer

$f prime of x equals 16 x cubed$

Answer

$f prime of x equals 16 x cubed$

Answer

$f prime of x equals 16 x cubed$

Determine the derivative of the function f(x)=f\left(x\right)= 4x44x^4 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}f′(x)=h→0lim hf(x+h)−f(x)