What is (\partial)/(\partial x)(x^2sin(4t)) ?

The answer to (\partial)/(\partial x)(x^2sin(4t)) is 2xsin(4t)

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(\partial)/(\partial x)(x^2sin(4t))

\frac{\partial}{\partial x} (x^{2} sin (4 t))

2 x sin (4 t)

Solution steps

\frac{\partial}{\partial x} (x^{2} sin (4 t))

Treat

t

as a constant

Take the constant out:

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

= sin (4 t) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= sin (4 t) \cdot 2 x^{2 - 1}

Simplify

= 2 x sin (4 t)

\int \frac{x}{3 x + 4} d x

\frac{\partial}{\partial x} (2 x^{2} + y)

\frac{\partial}{\partial x} (\frac{1}{x})

\frac{d}{d x} (\frac{sin ^{2} ( x )}{x ^{2}})

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

What is (\partial)/(\partial x)(x^2sin(4t)) ?
The answer to (\partial)/(\partial x)(x^2sin(4t)) is 2xsin(4t)