Respuesta :
Answer:
0.492
Step-by-step explanation:
According to the given situation, the calculation of Δy and dy is shown below:-
[tex]y = e^x, x = o, \Delta x = 0.6[/tex]
[tex]dy = f'(x) = e^x[/tex]
[tex]dy = e^x dx[/tex]
[tex]= e^x (0.4)[/tex]
[tex]dy = 0.4e^x[/tex]
[tex]\Delta y = f(0.4) - f(0)[/tex]
[tex]= e^{0.4} - e^0[/tex]
Now we use the scientific calculator or spreadsheet to determine the exponential value
= 1.491824698 - 1
= 0.491824698
or
= 0.492
Therefore for computing the Δy and dy we simply applied the above formula.
Hence, the answer is 0.4918
