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

Question

Determine the derivative of the function f(x)=2x3f\left(xight)=$$2x^3$$ 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)=$$6x2f^{\prime}$$\left(x\right)=$$6x^2$$

Answer

f′(x)=$$12xf^{\prime}$$\left(x\right)=12x

Answer

f′(x)=$$3x2f^{\prime}$$\left(x\right)=$$3x^2$$

Answer

f′(x)=$$6xf^{\prime}$$\left(x\right)=6x^{}

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

Determine the derivative of the function $f of x equals 2 x cubed$ using the definition:
$f^{'} (x) = \lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$