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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    line tangent to the graph has slope \[e^{45}\]

  2. anonymous
    • 5 years ago
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    and goes through the point \[(45,e^{45})\] so equation is \[y-e^{45}=e^{45}(x-45)\]

  3. anonymous
    • 5 years ago
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    x intercept means set y = 0 and solve \[0-e^{45}=e^{45}(x-45)\] \[-1=x-45 \] \[x=44\]

  4. anonymous
    • 5 years ago
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    check my algebra because i am tired

  5. myininaya
    • 5 years ago
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    i got x=44 as well

  6. anonymous
    • 5 years ago
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    thank you, because of yur help i just might graudaute

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