What is (\partial)/(\partial s)((x)(s+t)) ?

The answer to (\partial)/(\partial s)((x)(s+t)) is x

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(\partial)/(\partial s)((x)(s+t))

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

x

Solution steps

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

Treat

x, t

as constants

Take the constant out:

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

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial s} (s) = 1

\frac{\partial}{\partial s} (t) = 0

= x (1 + 0)

Simplify

= x

\frac{x + 2}{x ( x ^{2} - 9 )}

(x - sin (x))^{2}

\frac{25 ( 2 - 2 )}{2}

\frac{2 x + 1}{( - 2 x + 6 ) ( 3 x + 8 )}

\frac{( 3 x - 5 ) ^{3}}{9}

What is (\partial)/(\partial s)((x)(s+t)) ?
The answer to (\partial)/(\partial s)((x)(s+t)) is x