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smileybug96

  • 3 years ago

how do i differentiate a function

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  1. tjones89
    • 3 years ago
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    it depends on the function, there are different rules you can use for different types

  2. cljohn
    • 3 years ago
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    use the rules of differentiatin

  3. smileybug96
    • 3 years ago
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    what if i have like, sin(3x^3 +1) how would i do that?

  4. cljohn
    • 3 years ago
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    use the trig rules of differentiation, the derivative of sin is cos, the derivative of cosx is -sinx and the derivative of -sinx is -cosx. Last the derivative of -cosx is sinx, then the pattern starts over

  5. cljohn
    • 3 years ago
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    then you need to use the chain rule for 3x^3+1

  6. smileybug96
    • 3 years ago
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    so, im gonna say, cosx(9x+1)?

  7. smileybug96
    • 3 years ago
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    oh wait, imeant 9x^2 +1

  8. cljohn
    • 3 years ago
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    almost except you take the derivative of the outside function of sin(3x^3+1), disregard the 3x^3+1 and we will make that x, so the derivative of sinx is cos x.

  9. smileybug96
    • 3 years ago
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    so what would the final answer be?..youre answer is kinda confusing:p

  10. cljohn
    • 3 years ago
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    then replace the x and the derivative is cos(3x^3+1). BEcause there is a function within sinx we must use the chain rule. Now you need to to multiply by the derivative of the inside function of (3x^3+1) which is 9x. The derivative of the while funtion should now be 9xcos(3x^3+1)

  11. smileybug96
    • 3 years ago
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    ohhhh okay, thank you :)

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