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rustynail
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Hello people! I have bought ''Calculus Made easy'' by Silvanus P. Thompson, I'm starting to teach myself calculus before actually taking the course. The problem discussed here will be about applying the power rule. Also, I'm not quite familiar with the use of LaTeX, so I'll try to make it as clear as possible without it.
Differentiate the following : y=³√[x^(-5)]
Just used the power rule really.
y = x^(-5/3)
dy/dx = (-5/3)x^[(-5/3)-1]
dy/dx = (-5/3)x^(-8/3)
and I believe I'm finished here.
But the textbook gives a different answer : dy/dx = (-5/3)x^(-8/5)
And I really don't see how they got (-8/5) as a power of x.
thanks for your time.
Homework Statement
Differentiate the following : y=³√[x^(-5)]
Homework Equations
Just used the power rule really.
The Attempt at a Solution
y = x^(-5/3)
dy/dx = (-5/3)x^[(-5/3)-1]
dy/dx = (-5/3)x^(-8/3)
and I believe I'm finished here.
But the textbook gives a different answer : dy/dx = (-5/3)x^(-8/5)
And I really don't see how they got (-8/5) as a power of x.
thanks for your time.
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