use the function below to answer parts (a)-(c).\n$f(x)=x^{2}-3$\n(a) use the formal definition to find the…

use the function below to answer parts (a)-(c).\n$f(x)=x^{2}-3$\n(a) use the formal definition to find the derivative of $y = f(x)$ at $x = 1$\n(b) find $f(1)$ and find the equation of the tangent line at the point $(1, f(1))$\n(c) graph $y = f(x)$ and the tangent line at the point $(1, f(1))$ in the same coordinate system\n(a) the derivative of a function $f$ at $x$, denoted by $f(x)$, is $f(x)=limlimits_{h\rightarrow0}\frac{f(x + h)-f(x)}{h}$ provided that the limit exists. use the\nof the derivative of $f$ at $x$ to find the derivative of the given function $f(x)$ when $x = 1$\n$f(1)=limlimits_{h\rightarrow0}\frac{(1 + h)^{2}-3-(1)^{2}-3}{h}$\nevaluate the limit expression to find $f(1)$\n$f(1)=2$ (type an integer or a fraction.)\n(b) $f(1)=square$ (type an integer or a fraction.)

use the function below to answer parts (a)-(c).\n$f(x)=x^{2}-3$\n(a) use the formal definition to find the derivative of $y = f(x)$ at $x = 1$\n(b) find $f(1)$ and find the equation of the tangent line at the point $(1, f(1))$\n(c) graph $y = f(x)$ and the tangent line at the point $(1, f(1))$ in the same coordinate system\n(a) the derivative of a function $f$ at $x$, denoted by $f(x)$, is $f(x)=limlimits_{h\rightarrow0}\frac{f(x + h)-f(x)}{h}$ provided that the limit exists. use the\nof the derivative of $f$ at $x$ to find the derivative of the given function $f(x)$ when $x = 1$\n$f(1)=limlimits_{h\rightarrow0}\frac{(1 + h)^{2}-3-(1)^{2}-3}{h}$\nevaluate the limit expression to find $f(1)$\n$f(1)=2$ (type an integer or a fraction.)\n(b) $f(1)=square$ (type an integer or a fraction.)

Answer

Explanation:

Step1: Substitute (x = 1) into (f(x))

Given (f(x)=x^{2}-3), then (f(1)=(1)^{2}-3).

Step2: Calculate the value

(f(1)=1 - 3=-2)

Answer:

(-2)