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ln(x4)?

d/dx(ln(u))=1/u*d/dx(u)

d/dx(ln(x4))=[1/x4]*d/dx(x4)

-The derivative of x4 is:

d/dx(x4)=4x4-1

d/dx(x4)=4x3

d/dx(ln(x4))=[1/x4]*(4x3)

d/dx(ln(x4))=4x3/x4

d/dx(ln(x4))=4/x

(lnx)4?

Chain rule: d/dx(ux)=x(u)x-1*d/dx(u)

d/dx(lnx)4=4(lnx)4-1*d/dx(lnx)

d/dx(lnx)4=4(lnx)3*d/dx(lnx)

-The derivative of lnx is:

d/dx(ln(u))=1/u*d/dx(u)

d/dx(lnx)=1/x*d/dx(x)

d/dx(lnx)=1/x*(1)

d/dx(lnx)=1/x

d/dx(lnx)4=4(lnx)3*(1/x)

d/dx(lnx)4=4(lnx)3/x

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13y ago

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