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

Question

Determine the derivative of the function f(x)=f\left(xight)= $$4x44x^4$$ using the definition:f′(x)=lim⁡h→0 f(x+h)−$$f(x)hf^{\prime}$$\left(xight)={\displaystyle\lim_{h	o0}}	ext{ }\frac{f\left(x+hight)-f\left(xight)}{h}

Accepted Answer

f′(x)=$$16x3f^{\prime}$$\left(x\right)=$$16x^3$$

Answer

f′(x)=$$4x2f^{\prime}$$\left(x\right)=$$4x^2$$

Answer

f′(x)=$$16x2f^{\prime}$$\left(x\right)=$$16x^2$$

Answer

f′(x)=$$4x3f^{\prime}$$\left(x\right)=$$4x^3$$

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\(\to\)0}}\(\text{ }\]\frac{f\left(x+h\right)-f\left(x\right)}{h}\)

Determine the derivative of the function $f (x) =$ $4 x to the fourth power$ using the definition:
$f^{'} (x) = \lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$