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

use the function below to answer parts (a)-(c).\n\n$f(x)=x^{2}+3$\n\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\n$f(1)=lim_{h \to 0}\frac{(1 + h)^{2}+3-(1)^{2}+3}{h}$\n\nevaluate the limit expression to find $f(1)$.\n\n$f(1)=2$ (type an integer or a fraction.)\n\n(b) $f(1)=square$ (type an integer or a fraction.)

use the function below to answer parts (a)-(c).\n\n$f(x)=x^{2}+3$\n\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\n$f(1)=lim_{h \to 0}\frac{(1 + h)^{2}+3-(1)^{2}+3}{h}$\n\nevaluate the limit expression to find $f(1)$.\n\n$f(1)=2$ (type an integer or a fraction.)\n\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), substitute (x = 1) into the function: (f(1)=1^{2}+3)

Step2: Calculate the value

(1^{2}+3=1 + 3=4)

Answer:

(4)