What is (\partial)/(\partial x)(tan(3x-5y)) ?

The answer to (\partial)/(\partial x)(tan(3x-5y)) is sec^2(3x-5y)*3

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(\partial)/(\partial x)(tan(3x-5y))

\frac{\partial}{\partial x} (tan (3 x - 5 y))

sec^{2} (3 x - 5 y) \cdot 3

Solution steps

\frac{\partial}{\partial x} (tan (3 x - 5 y))

Treat

y

as a constant

Apply the chain rule:

sec^{2} (3 x - 5 y) \frac{\partial}{\partial x} (3 x - 5 y)

= sec^{2} (3 x - 5 y) \frac{\partial}{\partial x} (3 x - 5 y)

\frac{\partial}{\partial x} (3 x - 5 y) = 3

= sec^{2} (3 x - 5 y) \cdot 3

\frac{\partial}{\partial x} (y^{2} - 1)

\int \frac{x}{x - 1} d x

n = 0 \sum \infty (\frac{7}{18})^{n}

sec (x) \frac{d y}{d x} + y = 1

x \to 3 lim (\frac{1.5}{3 - 1.5})

What is (\partial)/(\partial x)(tan(3x-5y)) ?
The answer to (\partial)/(\partial x)(tan(3x-5y)) is sec^2(3x-5y)*3