What is (\partial)/(\partial y)(sinh(2x+3y)) ?

The answer to (\partial)/(\partial y)(sinh(2x+3y)) is cosh(2x+3y)*3

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(\partial)/(\partial y)(sinh(2x+3y))

\frac{\partial}{\partial y} (sinh (2 x + 3 y))

cosh (2 x + 3 y) \cdot 3

Solution steps

\frac{\partial}{\partial y} (sinh (2 x + 3 y))

Treat

x

as a constant

Apply the chain rule:

cosh (2 x + 3 y) \frac{\partial}{\partial y} (2 x + 3 y)

= cosh (2 x + 3 y) \frac{\partial}{\partial y} (2 x + 3 y)

\frac{\partial}{\partial y} (2 x + 3 y) = 3

= cosh (2 x + 3 y) \cdot 3

\frac{55.9}{t ^{2} - 0.31 t + 11.2}

\frac{\partial}{\partial x} (- 3 x^{2} + 28)

\frac{d P}{d t} = P (5 - P) - 4

x \to 2 lim (x^{3} \cdot 2 x^{2})

\frac{\partial}{\partial x} (x y + x^{2} y + x y^{2})

What is (\partial)/(\partial y)(sinh(2x+3y)) ?
The answer to (\partial)/(\partial y)(sinh(2x+3y)) is cosh(2x+3y)*3