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widownes
@widownes
August 2022
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Дана функция y=(x^3)(x^2-5x-3)
найдите производную
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fenix6810
y=x^5-5x^4-3x^3
y'=5x^4-20x^3-9x^2=x^2*(5x^2-20x-9)
0 votes
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dimaportnyagin04
Y’=(x^3*(x^2-5x-3))’
y’=(x^5-5x^4-3x3)’
y’=(x^5)’+(-5x^4)’+(-3x^3)’
y’=5x^4-5*4x^3-3*3x^2
y’=5x^4-20x^3-9x^2
Ответ: y’=5x^4 - 20x^3 - 9x^2
1 votes
Thanks 1
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Answers & Comments
y=x^5-5x^4-3x^3
y'=5x^4-20x^3-9x^2=x^2*(5x^2-20x-9)
y’=(x^5-5x^4-3x3)’
y’=(x^5)’+(-5x^4)’+(-3x^3)’
y’=5x^4-5*4x^3-3*3x^2
y’=5x^4-20x^3-9x^2
Ответ: y’=5x^4 - 20x^3 - 9x^2