求大神解答!高数微分!
2个回答
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(1)
dy = d(x^2 + (sinx)^2 - 3x + 4)
= d(x^2) + d((sinx)^2) - d(3x) + d(4)
= 2xdx + 2sinxdsinx - 3dx
= (2x + 2sinxcosx - 3)dx
(3)
dy = d((arccosx)^2 - 1)
= 2arccosxd(arccosx)
= -2arccosx/√(1-x^2) dx
(5)
dy = d(ln(tan(x/2)))
= 1/tan(x/2) d(tan(x/2))
= 1/tan(x/2) (sec(x/2))^2d(x/2)
= (sec(x/2))^2/2tan(x/2) dx
dy = d(x^2 + (sinx)^2 - 3x + 4)
= d(x^2) + d((sinx)^2) - d(3x) + d(4)
= 2xdx + 2sinxdsinx - 3dx
= (2x + 2sinxcosx - 3)dx
(3)
dy = d((arccosx)^2 - 1)
= 2arccosxd(arccosx)
= -2arccosx/√(1-x^2) dx
(5)
dy = d(ln(tan(x/2)))
= 1/tan(x/2) d(tan(x/2))
= 1/tan(x/2) (sec(x/2))^2d(x/2)
= (sec(x/2))^2/2tan(x/2) dx
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