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Popular >

(\partial)/(\partial x)(sin(12x)cos(2y))

Solution

\frac{\partial}{\partial x} (sin (12 x) cos (2 y))

Solution

cos (2 y) cos (12 x) \cdot 12

Solution steps

\frac{\partial}{\partial x} (sin (12 x) cos (2 y))

Treat

y

as a constant

Take the constant out:

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

= cos (2 y) \frac{\partial}{\partial x} (sin (12 x))

Apply the chain rule:

cos (12 x) \frac{\partial}{\partial x} (12 x)

= cos (12 x) \frac{\partial}{\partial x} (12 x)

\frac{\partial}{\partial x} (12 x) = 12

= cos (2 y) cos (12 x) \cdot 12

Popular Examples

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x \to \infty + lim (5 x - 1)

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\int_{1}^{7} 1

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\int (1 + \frac{( ln ( x ) ) ^{2}}{x}) d x

integral of (9x^2-5x+4)

\int (9 x^{2} - 5 x + 4) d x

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(sin(12x)cos(2y)) ?
The answer to (\partial)/(\partial x)(sin(12x)cos(2y)) is cos(2y)cos(12x)*12