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

The answer to (\partial)/(\partial x)(sinh(x^2y)) is cosh(x^2y)*2yx

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(\partial)/(\partial x)(sinh(x^2y))

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

cosh (x^{2} y) \cdot 2 y x

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= cosh (x^{2} y) \cdot 2 y x

x^{2} + 3, 4 x^{2}

y^{^{''}} - y = x

\frac{2 x ^{\frac{3}{2}} - x ^{2} + 4}{x}, at x = 4

\frac{d}{d x} (\frac{7}{3 x ^{4}})

x \to 8 lim (\frac{x - 8}{x})

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