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Popular Calculus >

derivative of s= 1/t

Solution

derivative of

s = \frac{1}{t}

Solution

\frac{d t}{d s} = - t^{2}

Solution steps

s = \frac{1}{t}

Treat

t

as

t (s)

Differentiate both sides:

1 = - \frac{\frac{d t}{d s}}{t ^{2}}

Isolate

\frac{d t}{d s} : \frac{d t}{d s} = - t^{2}

\frac{d t}{d s} = - t^{2}

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Frequently Asked Questions (FAQ)

What is derivative of s= 1/t ?
The answer to derivative of s= 1/t is (dt)/(ds)=-t^2