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

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

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

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

e^{x c o s (y)} cos (y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{x c o s (y)} cos (y)

- 5 (t - 2) e^{t - 2}

\int x sin (1 - x^{2}) d x

\int \frac{7 arcsin ( x )}{x ^{2}} d x

\frac{d y}{d x} = 5 x (y - 1)^{\frac{1}{5}}

- 2 x^{5} + 11 x^{3}

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