Step 2\ The next step is to simplify the expression

\\\\lim_(h->0)(f(-7+h)-f(-7))/(h)

.\ For the given function

f(x)=9x-x^(2)

we must find

f(-7+h)

and

f(-7)

and substitute these expressions into th\

f(x)=9x-x^(2)\ f(-7)=9(-7)-()^(2)\ f(-7+h)=9(-7+h)-(,x)^(2)

The next step is to simplify the expression limh0hf(7+h)f(7). For the given function f(x)=9xx2 we must find f(7+h) and f(7) and substitute these expressions into th f(x)f(7)f(7+h)=9xx2=9(7)()2=9(7+h)(x)2