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Posted by on Friday, June 12, 2009 at 2:03am.

Let f be the function defined by f(x)=2x+11-3e^x

If the equation of the tangent line to the graph of f at the point (0,8) is given by y=mx+b then:

m=?

and b=?

  • Calculus - , Friday, June 12, 2009 at 2:39am

    For the standard line equation,
    y=mx+b
    m is the slope of the line
    b is the y intercept (where x=0)

    Take the derivative of the equation. Use that to find the slope of the tangent at (0,8). Once you have the slope and one point (0,8) you can solve for the b.

  • Calculus - , Friday, June 12, 2009 at 3:12am

    I just need help finding the derivative of f(x). The 3e^x is tripping me out.

  • Calculus - , Friday, June 12, 2009 at 5:20am

    if
    y = 3e^x
    then
    dy/dx = 3 e^x
    because
    d/dx e^u = e^u du/dx

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