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  1. #1
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    derivative true false

    derivative true or false explain why if false

    if y = x / (pi) , then dy/dx = 1 / (pi)

    i have no idea how to prove this? any help
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  2. #2
    Super Member bigwave's Avatar
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    power rule

     <br />
\frac{d}{dx}\left(x^n\right) = nx^{n-1}<br />

    y= \frac{x}{\pi}

    can be rewritten as

     <br />
f(x) = \frac{1}{\pi}x so f'(x) = \frac{1}{\pi}x^0  = \frac{1}{\pi}
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  3. #3
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    Quote Originally Posted by maybnxtseasn View Post
    derivative true or false explain why if false

    if y = x / (pi) , then dy/dx = 1 / (pi)

    i have no idea how to prove this? any help
    Actually, while the "power law" is one of the most important laws for differentiation, here I think it is "overkill".

    One of the first things you should have learned about the derivative is that the derivative of a linear function is just its slope.

    (Most people learn the derivative as "slope of the tangent line" and if the graph is itself a line, it is its own "tangent line".)
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