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

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

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

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

cos (y) e^{2 x} \cdot 2

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (y) \frac{\partial}{\partial x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{\partial}{\partial x} (2 x)

= e^{2 x} \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (2 x) = 2

= cos (y) e^{2 x} \cdot 2

x \to - 2 lim (3 x + 4)

\int x e^{5 x} d x

h \to 0 lim (\frac{1}{h ^{2}})

\int x n (x) d x

\int sec^{13} (x) d x

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