Question

what is the x-intercept of the tangent to y=e^x at x=45

Answer 1

line tangent to the graph has slope \[e^{45}\]

Answer 2

and goes through the point \[(45,e^{45})\] so equation is
\[y-e^{45}=e^{45}(x-45)\]

Answer 3

x intercept means set y = 0 and solve
\[0-e^{45}=e^{45}(x-45)\]
\[-1=x-45
\]
\[x=44\]

Answer 4

check my algebra because i am tired

Answer 5

i got x=44 as well

Answer 6

thank you, because of yur help i just might graudaute