What is (\partial)/(\partial x)(x^2sin(3t)) ?

The answer to (\partial)/(\partial x)(x^2sin(3t)) is 2xsin(3t)

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(\partial)/(\partial x)(x^2sin(3t))

\frac{\partial}{\partial x} (x^{2} sin (3 t))

2 x sin (3 t)

Solution steps

\frac{\partial}{\partial x} (x^{2} sin (3 t))

Treat

t

as a constant

Take the constant out:

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

= sin (3 t) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= sin (3 t) \cdot 2 x^{2 - 1}

Simplify

= 2 x sin (3 t)

arcsin (e^{2 x})

\int ln (sin (x)) cos^{3} (x) d x

t^{2} \frac{d y}{d t} + y = 0, y (5) = - 1, t > 0

x \to - 10 lim (\frac{1}{( x + 10 ) ^{4}})

\int 1 + 8 x d x

What is (\partial)/(\partial x)(x^2sin(3t)) ?
The answer to (\partial)/(\partial x)(x^2sin(3t)) is 2xsin(3t)