What is (\partial)/(\partial x)(e^{3x}sin(2y)) ?

The answer to (\partial)/(\partial x)(e^{3x}sin(2y)) is sin(2y)e^{3x}*3

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(\partial)/(\partial x)(e^{3x}sin(2y))

\frac{\partial}{\partial x} (e^{3 x} sin (2 y))

sin (2 y) e^{3 x} \cdot 3

Solution steps

\frac{\partial}{\partial x} (e^{3 x} sin (2 y))

Treat

y

as a constant

Take the constant out:

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

= sin (2 y) \frac{\partial}{\partial x} (e^{3 x})

Apply the chain rule:

e^{3 x} \frac{\partial}{\partial x} (3 x)

= e^{3 x} \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= sin (2 y) e^{3 x} \cdot 3

x^{2} - 3 x + 7

f (x) = x^{2} + 4, g (x) = - x^{2} - 1, [- 2, 3]

x \to 2 lim (\frac{x - 3}{x + 5})

y^{^{''}} - 2 y^{^{'}} + 4 y = 0, y^{^{'}} (0) = 2, y (0) = 1

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

What is (\partial)/(\partial x)(e^{3x}sin(2y)) ?
The answer to (\partial)/(\partial x)(e^{3x}sin(2y)) is sin(2y)e^{3x}*3