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ncorrea92

  • 2 years ago

derivative of cos^5 (pix-13)

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  1. ns36
    • 2 years ago
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    You need to use the chain rule here: so the answer is (4 x cos^4 (pix - 13)) x (-sin( pix - 13)) x pi.

  2. ncorrea92
    • 2 years ago
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    Where did you get the 4 from?

  3. ns36
    • 2 years ago
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    Oh sorry replace the 4 in front with a 5! so the first part should be ( 5cos^4(pix -13))(-sin(pix - 13))(pi)

  4. ns36
    • 2 years ago
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    So the whole answer is what I posted above - that's not just the first part

  5. ncorrea92
    • 2 years ago
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    So the (-sin) shouldn't be raised to the 5?

  6. ns36
    • 2 years ago
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    nope! because the first part of the chain rule is finding the derivative of (x^5), and the second is finding the derivative of (cos x), and the third part of the chain rule is finding the derivative of (pix - 13).

  7. ns36
    • 2 years ago
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    so you already took care of the raising to the 5 in the first part of the answer, where we have that termed raised to the 4.

  8. ncorrea92
    • 2 years ago
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    Oh okay thank you. I get it now

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