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Find the local linear approximation of f(x) = [tex]e^{3x}[/tex] at x = 1.

y = [tex]e^3[/tex]

y = [tex]e^{3(x-1)}[/tex]

y = 3[tex]e^{3}[/tex](x − 1)

y = 3[tex]e^3[/tex]x − 2[tex]e^3[/tex]

Respuesta :

Hrishii

Answer:

[tex] y = {e}^{3}[/tex]

Step-by-step explanation:

[tex]f(x) = {e}^{3x} \\ \\ plug \: x = 1 \\ \\ f(1) = {e}^{3 \times 1} \\ \\ f(1) = {e}^{3} \\ \\ plug \: f(1) = y \\ \\ y = {e}^{3}[/tex]