What is (\partial)/(\partial t)(ssqrt(t)) ?

The answer to (\partial)/(\partial t)(ssqrt(t)) is s/(2sqrt(t))

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(\partial)/(\partial t)(ssqrt(t))

\frac{\partial}{\partial t} (s t)

\frac{s}{2 t}

Solution steps

\frac{\partial}{\partial t} (s t)

Treat

s

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= s \frac{\partial}{\partial t} (t)

Apply radical rule:

a = a^{\frac{1}{2}}

= s \frac{\partial}{\partial t} (t^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

s \frac{1}{2} t^{\frac{1}{2} - 1} : \frac{s}{2 t}

= \frac{s}{2 t}

f (x) = \frac{x ^{2}}{4 - x ^{2}}

\int cos^{5} (x s i) n^{4} x

w

\int 3 x^{\frac{5}{2}} d x

\int (12 x + 3 x^{4}) (10 x^{2} + x^{5} - 2)^{6} d x

What is (\partial)/(\partial t)(ssqrt(t)) ?
The answer to (\partial)/(\partial t)(ssqrt(t)) is s/(2sqrt(t))