What is the first d/(du)(usin(v)) ?

The first d/(du)(usin(v)) is sin(v)

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d/(du)(usin(v))

\frac{d}{d u} (u sin (v))

sin (v)

Solution steps

\frac{d}{d u} (u sin (v))

Treat

v

as a constant

Take the constant out:

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

= sin (v) \frac{d u}{d u}

Apply the common derivative:

\frac{d u}{d u} = 1

= sin (v) \cdot 1

Simplify

= sin (v)

\frac{d}{d x} (3 + x^{2})

y^{^{''}} + 5 y = - 180 x^{2} e^{5} x

f (x) = x - ln (x)

(- 4, - 3), (8, - 9)

\int x^{3} in (3 x) d x