Whakaoti i te f(x+h)-f(x)/h=2x+h

$$\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h$$

Whakaoti mō f

$$f=2x+h$$

$$h\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te h.

$$f\left(x+h\right)-fx=2xh+hh$$

Whakareatia te h ki te h, ka h^{2}.

$$f\left(x+h\right)-fx=2xh+h^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te f ki te x+h.

$$fx+fh-fx=2xh+h^{2}$$

Pahekotia te fx me -fx, ka 0.

$$fh=2xh+h^{2}$$

He hanga arowhānui tō te whārite.

$$hf=2hx+h^{2}$$

Whakawehea ngā taha e rua ki te h.

$$\frac{hf}{h}=\frac{h\left(2x+h\right)}{h}$$

Mā te whakawehe ki te h ka wetekia te whakareanga ki te h.

$$f=\frac{h\left(2x+h\right)}{h}$$

Whakawehe h\left(2x+h\right) ki te h.

$$f=2x+h$$

Whakaoti mō h

$$h=f-2x$$

$$f\neq 2x$$