Difference quotient in a point

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Calculate the difference quotient of the function $f(x)=x^2$ over the interval $[2,2+h]$ for an indeterminate $h>0$ .
What does the expression found in part (a) become when $h$ gets negligibly small?
Calculate the difference quotient of the function $f(x)=x^2$ over the interval $[2-h,2]$ for an indeterminate $h>0$ .
What does the expression found in part (c) become when $h$ gets negligibly small?

$\frac{{\vartriangle}f}{{\vartriangle}x}$ over $[2,2+h]={}$

$\frac{{\vartriangle}f}{{\vartriangle}x}$ over $[2,2+h]\approx{}$

when $h\approx 0$ .

$\frac{{\vartriangle}f}{{\vartriangle}x}$ over $[2-h,2]={}$

$\frac{{\vartriangle}f}{{\vartriangle}x}$ over $[2-h,2]\approx{}$

when $h\approx 0$ .

Differentiation, derivatives and Taylor approximations: Tangent line

Difference quotient in a point