What is (\partial)/(\partial x)(x^2sin(6t)) ?

The answer to (\partial)/(\partial x)(x^2sin(6t)) is 2xsin(6t)

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(\partial)/(\partial x)(x^2sin(6t))

\frac{\partial}{\partial x} (x^{2} sin (6 t))

2 x sin (6 t)

Solution steps

\frac{\partial}{\partial x} (x^{2} sin (6 t))

Treat

t

as a constant

Take the constant out:

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

= sin (6 t) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= sin (6 t) \cdot 2 x^{2 - 1}

Simplify

= 2 x sin (6 t)

\frac{d}{d x} (- \frac{e ^{- x} ( x ^{3} + 3 ( x ^{2} + 2 x + 2 ) )}{x ^{4}})

f (x) = \frac{x ^{2} + 8}{x + 28}, (5, 1)

(4, - 9), (2, - 2)

\int x^{m - 1} d x

y^{^{'}} = \frac{1}{1 - x ^{2}}

What is (\partial)/(\partial x)(x^2sin(6t)) ?
The answer to (\partial)/(\partial x)(x^2sin(6t)) is 2xsin(6t)