What is (\partial)/(\partial x)(e^{sin(x+y)}) ?

The answer to (\partial)/(\partial x)(e^{sin(x+y)}) is e^{sin(x+y)}cos(x+y)

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(\partial)/(\partial x)(e^{sin(x+y)})

\frac{\partial}{\partial x} (e^{s i n (x + y)})

e^{s i n (x + y)} cos (x + y)

Solution steps

\frac{\partial}{\partial x} (e^{s i n (x + y)})

Treat

y

as a constant

Apply the chain rule:

e^{s i n (x + y)} \frac{\partial}{\partial x} (sin (x + y))

= e^{s i n (x + y)} \frac{\partial}{\partial x} (sin (x + y))

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

= e^{s i n (x + y)} cos (x + y)

f (x) = \frac{( x + 1 )}{( x - 1 )}

\int 17 cot^{4} (x) d x

\frac{d}{d t} (e^{- 2 t} cos (3 t) + e^{- 2 t} sin (3 t))

\frac{d}{d x} (- 2 x^{5} - 3 x^{3} + 1)

What is (\partial)/(\partial x)(e^{sin(x+y)}) ?
The answer to (\partial)/(\partial x)(e^{sin(x+y)}) is e^{sin(x+y)}cos(x+y)