What is (\partial)/(\partial x)(sin(5x+5y)) ?

The answer to (\partial)/(\partial x)(sin(5x+5y)) is cos(5x+5y)*5

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(\partial)/(\partial x)(sin(5x+5y))

\frac{\partial}{\partial x} (sin (5 x + 5 y))

cos (5 x + 5 y) \cdot 5

Solution steps

\frac{\partial}{\partial x} (sin (5 x + 5 y))

Treat

y

as a constant

Apply the chain rule:

cos (5 x + 5 y) \frac{\partial}{\partial x} (5 x + 5 y)

= cos (5 x + 5 y) \frac{\partial}{\partial x} (5 x + 5 y)

\frac{\partial}{\partial x} (5 x + 5 y) = 5

= cos (5 x + 5 y) \cdot 5

n = 1 \sum \infty sin^{2} (n)

f (x) = x, (81, 9)

3 e^{- 5 t} + 6 e^{- 3 t}

\frac{d}{d t} (\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5})

f (x) = x^{10}

What is (\partial)/(\partial x)(sin(5x+5y)) ?
The answer to (\partial)/(\partial x)(sin(5x+5y)) is cos(5x+5y)*5