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Math Help - Definition of Derivative/Alt. form of the derivative

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    Definition of Derivative/Alt. form of the derivative

    Definition of Derivative/Alt. form of the derivative-2.jpg

    My teacher assigned this as a review for the test. This particular question looks like definition of derivative to me:

    \displaystyle \lim_{h \to 0} \frac{f(x+h)- f(x)}{h}

    Would that make f(x + h) = sin x
    and f(x) = 1/2? I'm very confused on which parts are which.
    Last edited by mr fantastic; September 23rd 2010 at 07:21 AM. Reason: Tidied up the latex.
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    Quote Originally Posted by density View Post
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    My teacher assigned this as a review for the test. This particular question looks like definition of derivative to me:

    \displaystyle \lim_{h \to 0} \frac{f(x+h)- f(x)}{h}

    Would that make f(x + h) = sin x
    and f(x) = 1/2? I'm very confused on which parts are which.
    f(x) = sin(x) and c = pi/6. Think about it.
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    (Think. . . think. . . think. . . )
    After much staring, I see it!
    Thank you.
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