What is (\partial)/(\partial x)(sin(pi(4x-3y))) ?

The answer to (\partial)/(\partial x)(sin(pi(4x-3y))) is cos(pi(4x-3y))*4pi

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(\partial)/(\partial x)(sin(pi(4x-3y)))

\frac{\partial}{\partial x} (sin (π (4 x - 3 y)))

cos (π (4 x - 3 y)) \cdot 4 π

Solution steps

\frac{\partial}{\partial x} (sin (π (4 x - 3 y)))

Treat

y

as a constant

Apply the chain rule:

cos (π (4 x - 3 y)) \frac{\partial}{\partial x} (π (4 x - 3 y))

= cos (π (4 x - 3 y)) \frac{\partial}{\partial x} (π (4 x - 3 y))

\frac{\partial}{\partial x} (π (4 x - 3 y)) = 4 π

= cos (π (4 x - 3 y)) \cdot 4 π

n = 1 \sum \infty \frac{( n )}{ln ( n )}

\frac{\partial}{\partial x} (x + y + ln (x y))

\int 1 - v d v

\int cot (1) d x

\frac{\partial}{\partial x} (lo g_{e} (x^{2} + y^{4}))

What is (\partial)/(\partial x)(sin(pi(4x-3y))) ?
The answer to (\partial)/(\partial x)(sin(pi(4x-3y))) is cos(pi(4x-3y))*4pi