What is (\partial)/(\partial x)(x^2sin(11t)) ?

The answer to (\partial)/(\partial x)(x^2sin(11t)) is 2xsin(11t)

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(\partial)/(\partial x)(x^2sin(11t))

\frac{\partial}{\partial x} (x^{2} sin (11 t))

2 x sin (11 t)

Solution steps

\frac{\partial}{\partial x} (x^{2} sin (11 t))

Treat

t

as a constant

Take the constant out:

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

= sin (11 t) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= sin (11 t) \cdot 2 x^{2 - 1}

Simplify

= 2 x sin (11 t)

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What is (\partial)/(\partial x)(x^2sin(11t)) ?
The answer to (\partial)/(\partial x)(x^2sin(11t)) is 2xsin(11t)