What is (\partial)/(\partial x)(x^2cos(y)) ?

The answer to (\partial)/(\partial x)(x^2cos(y)) is 2xcos(y)

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(\partial)/(\partial x)(x^2cos(y))

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

2 x cos (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= cos (y) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= cos (y) \cdot 2 x^{2 - 1}

Simplify

= 2 x cos (y)

\int \frac{1}{( x - 1 ) ( x - 2 )} d x

x \to - 3 lim (\frac{5}{x + 3})

\int (v^{\frac{3}{2}} + \frac{1}{v ^{\frac{3}{2}}}) d v

\int_{1}^{4} (\frac{x}{2} - \frac{5}{x}) d x

x \to \frac{7}{8} lim (x^{4})

What is (\partial)/(\partial x)(x^2cos(y)) ?
The answer to (\partial)/(\partial x)(x^2cos(y)) is 2xcos(y)