What is (\partial)/(\partial y)(5y-e^{8sin(x)}) ?

The answer to (\partial)/(\partial y)(5y-e^{8sin(x)}) is 5

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(\partial)/(\partial y)(5y-e^{8sin(x)})

\frac{\partial}{\partial y} (5 y - e^{8 s i n (x)})

5

Solution steps

\frac{\partial}{\partial y} (5 y - e^{8 s i n (x)})

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (5 y) - \frac{\partial}{\partial y} (e^{8 s i n (x)})

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

\frac{\partial}{\partial y} (e^{8 s i n (x)}) = 0

= 5 - 0

Simplify

= 5

n = 6 \sum \infty \frac{1}{n ^{2} - 4}

n = 1 \sum \infty \frac{1}{n ^{- 10}}

y = x^{2} + x + 3

\frac{1}{x}, at x = 9

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

What is (\partial)/(\partial y)(5y-e^{8sin(x)}) ?
The answer to (\partial)/(\partial y)(5y-e^{8sin(x)}) is 5