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Math Help - Derivative

  1. #1
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    Derivative

    The given limit is a derivative, but of what function f(x) and at what point.

    limit as change of x approaches 0 of the (tan(pi/4+change of x)-1)/ change of x.

    Please help me I am so bad at these and im so very confused!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ocmisssunshine View Post
    The given limit is a derivative, but of what function f(x) and at what point.

    limit as change of x approaches 0 of the (tan(pi/4+change of x)-1)/ change of x.

    Please help me I am so bad at these and im so very confused!
    the function is f(x) = tan(x), and we are considering the derivative at the point x = pi/4

    is that what you wanted?
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  3. #3
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    \lim_{h\rightarrow{0}}\frac{tan(\frac{\pi}{4}+h))-1}{h}

    What is tan(x) when x=\frac{\pi}{4}?.
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  4. #4
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    No I have to find what function F(x) and at what point from the limit which is a derivative. which is the tan(pi/4+deltax)-1 all divided by delta x
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  5. #5
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    the tangent of pi/4 is one
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  6. #6
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    Yes. That's what I am getting at. See the 1 in your limit?. The function you wish to find is in front of you.
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  7. #7
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    omg I look over the obvious all the time. Thank you so much!! I always make things more complicated then they have to be.
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