What is implicit (dy)/(dx),(cos(pix)+sin(piy))^5=23 ?

The answer to implicit (dy)/(dx),(cos(pix)+sin(piy))^5=23 is (dy)/(dx)=(sin(pix))/(cos(piy))

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implicit (dy)/(dx),(cos(pix)+sin(piy))^5=23

implicit derivative

\frac{d y}{d x}, (cos (π x) + sin (π y))^{5} = 23

\frac{d y}{d x} = \frac{sin ( π x )}{cos ( π y )}

Solution steps

(cos (π x) + sin (π y))^{5} = 23

Treat

y

y (x)

Differentiate both sides:

5 (cos (π x) + sin (π y))^{4} (- sin (π x) π + cos (π y) π \frac{d y}{d x}) = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{sin ( π x )}{cos ( π y )}

\frac{d y}{d x} = \frac{sin ( π x )}{cos ( π y )}

n = 1 \sum \infty r^{n}

\frac{\partial}{\partial y} (x^{2} e^{yz})

\frac{d}{d x} (x^{2} + \frac{cos ( x )}{2})

\frac{d y}{d x} + \frac{1}{200 + 3 x} y = 12

What is implicit (dy)/(dx),(cos(pix)+sin(piy))^5=23 ?
The answer to implicit (dy)/(dx),(cos(pix)+sin(piy))^5=23 is (dy)/(dx)=(sin(pix))/(cos(piy))