What is (\partial)/(\partial x)(e^{cos(x-2y)}) ?

The answer to (\partial)/(\partial x)(e^{cos(x-2y)}) is -e^{cos(x-2y)}sin(x-2y)

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(\partial)/(\partial x)(e^{cos(x-2y)})

\frac{\partial}{\partial x} (e^{c o s (x - 2 y)})

- e^{c o s (x - 2 y)} sin (x - 2 y)

Solution steps

\frac{\partial}{\partial x} (e^{c o s (x - 2 y)})

Treat

y

as a constant

Apply the chain rule:

e^{c o s (x - 2 y)} \frac{\partial}{\partial x} (cos (x - 2 y))

= e^{c o s (x - 2 y)} \frac{\partial}{\partial x} (cos (x - 2 y))

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

= e^{c o s (x - 2 y)} (- sin (x - 2 y))

Simplify

= - e^{c o s (x - 2 y)} sin (x - 2 y)

\frac{( 7 s + 2 )}{s ^{2} + 6 s + 34}

x \to 9 + lim (\frac{7}{x - 9})

\int e^{y} cos (x) d x

\frac{sin ( 2 x )}{2}

\int_{0}^{3} x^{2} - 2 x d x

What is (\partial)/(\partial x)(e^{cos(x-2y)}) ?
The answer to (\partial)/(\partial x)(e^{cos(x-2y)}) is -e^{cos(x-2y)}sin(x-2y)