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kirill1819999
@kirill1819999
August 2022
1
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Помогите решить производную функций.
1) f(x)=1/3*x^-9
2)f(x)=8*1/x
3)f(x)= -18√x
4)f(x)= -54
5)f(x)=(8x+6)^7
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sedinalana
Verified answer
1) f(x)=1/3*x^-9
f`(x)=1/3*(-9)*x^-10=-3*x^-10
2)f(x)=8*1/x
f`(x)=-8/x²
3)f(x)= -18√x
f`(x)=-18/(2√x)=-9/√x
4)f(x)= -54
f`(x)=0
5)f(x)=(8x+6)^7
f`(x)=7*(8x+6)^6*8=56(8x+6)^6
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kirill1819999
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Answers & Comments
Verified answer
1) f(x)=1/3*x^-9f`(x)=1/3*(-9)*x^-10=-3*x^-10
2)f(x)=8*1/x
f`(x)=-8/x²
3)f(x)= -18√x
f`(x)=-18/(2√x)=-9/√x
4)f(x)= -54
f`(x)=0
5)f(x)=(8x+6)^7
f`(x)=7*(8x+6)^6*8=56(8x+6)^6