What is (\partial)/(\partial x)(sin(pi(5x-6y))) ?

The answer to (\partial)/(\partial x)(sin(pi(5x-6y))) is cos(pi(5x-6y))*5pi

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(\partial)/(\partial x)(sin(pi(5x-6y)))

\frac{\partial}{\partial x} (sin (π (5 x - 6 y)))

cos (π (5 x - 6 y)) \cdot 5 π

Solution steps

\frac{\partial}{\partial x} (sin (π (5 x - 6 y)))

Treat

y

as a constant

Apply the chain rule:

cos (π (5 x - 6 y)) \frac{\partial}{\partial x} (π (5 x - 6 y))

= cos (π (5 x - 6 y)) \frac{\partial}{\partial x} (π (5 x - 6 y))

\frac{\partial}{\partial x} (π (5 x - 6 y)) = 5 π

= cos (π (5 x - 6 y)) \cdot 5 π

x, \frac{1}{x + y}

(2 + x) y^{^{'}} = 3 y

\frac{\partial}{\partial x} (20 x y)

\int_{0}^{2} \frac{1}{4 + t ^{2}} d t

(34) (3 - 4)

What is (\partial)/(\partial x)(sin(pi(5x-6y))) ?
The answer to (\partial)/(\partial x)(sin(pi(5x-6y))) is cos(pi(5x-6y))*5pi