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Math Help - 2. Differentiate the following function

  1. #1
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    2. Differentiate the following function

    f (t) = 1/7t^6-5t^4+9t
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  2. #2
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    Do you know the power rule?

    \tfrac{d}{dx} x^n = nx^{n-1}
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    no, and i have a horrible teacher, can you take me through the steps, please?
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    Quote Originally Posted by plstevens View Post
    f (t) = 1/7t^6-5t^4+9t
    Well, there's one rule and one property you have to know here. First is the power rule, as described above. Second is the fact that the derivative of x + y is the (derivative of x) + (derivative of y). In other words, differentiate each term separately, then add up all the derivatives at the end. Does this help?
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  5. #5
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    Basically take whatever number that the variable is raised to. Multiply it by whatever constant was there before and then subtract 1 from the power.

    So:

    \tfrac{d}{dx}x^2 = 2x
    \tfrac{d}{dx}2x = 2

    \tfrac{d}{dx}3x^{5.9} = 3 \cdot 5.9 x^{4.9}

    It's like that.
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    so is that the way you work out the problem that i'm currently doing because i'm still lost and still confused.
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  7. #7
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    Quote Originally Posted by plstevens View Post
    f (t) = 1/7t^6-5t^4+9t
    First differentiate 1/7t^6 using the power rule (6*1/7t^(6-1), according to the rule), then do the same on -5t^4 and 9t.
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  8. #8
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    (6/7)t^5-20t^3+9t^0 is this right, tell me what i'm supposed to do with the 9t^0
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  9. #9
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    Quote Originally Posted by plstevens View Post
    (6/7)t^5-20t^3+9t^0 is this right, tell me what i'm supposed to do with the 9t^0
    What is the value of t^0? If that is giving you problems, then consider something more fundamental: What is the value of 3^0? 5^0? 8^0? Plug them into your calculator if you don't remember.

    -Dan
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