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pottersheep

  • 3 years ago

Derive y= (3x-9)^9(x+2)^6 I get y1= 162(3x-9)^8(x+2)^5?

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  1. pottersheep
    • 3 years ago
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    The answer is 45x(3x-9)^8(x+2)^5...I don't get it!

  2. zenai
    • 3 years ago
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    you must use the product rule combined with using the chain rule when you find each derivative.

  3. pottersheep
    • 3 years ago
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    Yep that's what I did! Should I show you my steps?

  4. zenai
    • 3 years ago
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    yes please, let me take a look

  5. pottersheep
    • 3 years ago
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    y = (3x-9)^9(x+2)^6 y1 = 9(3)(3x-8)^8 (6)(1)(x+2)^5 y1 = 162 (3x-9)^8(x+2)^5

  6. pottersheep
    • 3 years ago
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    Thank you

  7. pottersheep
    • 3 years ago
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    Have I gone wrong somewhere?

  8. zenai
    • 3 years ago
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    yes you forgot to put an addition sign. the product formula is a*d/dx(b) + d/dx(a) * b

  9. pottersheep
    • 3 years ago
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    OHHHHHHH

  10. zenai
    • 3 years ago
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    when you take the d/dx of the a and the b terms, that's when you execute the sign rule. this is an annoying question lol it will take some time to compute it all

  11. pottersheep
    • 3 years ago
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    Thank you!!!!!

  12. zenai
    • 3 years ago
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    no problem!

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