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OpenStudy (anonymous):
need help finding this derivative without the quotient rule.
-7t^3 + 3/(t^3) - 3/(3rdrt(t))
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OpenStudy (anonymous):
is this the function:
\[-7t^3 + \frac{3}{t^3} -\frac{3}{\sqrt[3]{t}}\]
OpenStudy (anonymous):
or this :
\[\LARGE -7t^3+\frac{3}{t^3}-\frac{3}{3\sqrt t}\] ?
OpenStudy (shayaan_mustafa):
then use difference quotient or you can say that first principle.
OpenStudy (shayaan_mustafa):
if quotient rule is not the choice then use above specified rule.
good luck.
OpenStudy (anonymous):
yea eig that is the correct equation
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OpenStudy (anonymous):
\[f(x) = -7t^3 +\frac{3}{t^3} -\frac{3}{\sqrt[3]{t}} = -7t^3 +3t^{-3} -3t^{-\frac{1}{3}} \]
OpenStudy (anonymous):
differentiate the normal way ax^n goes to nax^(n-1)
OpenStudy (anonymous):
the only confusion i had was converting fractions into exponents. if its 3/ (t^3 that just becomes 3t^-3?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
and obviously the other is 1/3 because of the root. Thanks very much that was my only confusion
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OpenStudy (anonymous):
no problem :) happy mathsing
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