$\"\"$

The function $\"f\\left$ .

Find $\"\"$ $\"f\\left$ .

Substitute $\"x=a\"$ in $\"f\\left$ .

$\"f\\left$ .

$\"\"$

Find $\"f\\left$ .

Substitute $\"x=a+h\"$ in $\"f\\left$ .

$\"f\\left$

Apply the binomial expansion: $\"(a+b)^5=a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5\"$ .

Here $\"a=a,$ .

$\"f\\left$

$\"f\\left$ .

$\"\"$

Find $\"\\frac{f\\left$ .

Substitute the values of $\"f\\left$ and $\"f\\left$ .

$\"\\frac{f\\left$

$\"=\\frac{-a^5-5a^4h-10a^3h^2-10a^2h^3-5ah^4-h^5-a^5}{h}\"$

$\"=\\frac{h(-5a^4-10a^3h-10a^2h^2-5ah^3-h^4)}{h}\"$

$\"\\frac{f(a+h)-f(a)}{h}=-5a^4-10a^3h-10a^2h^2-5ah^3-h^4\"$ .

$\"\"$

$\"f\\left$ .

$\"f\\left$ .

$\"\\frac{f(a+h)-f(a)}{h}=-5a^4-10a^3h-10a^2h^2-5ah^3-h^4\"$ .