17. Find the slope of the tangent line to the curve \( 5 \sin x+4 \cos y-4 \sin x \cos y+x=7 \pi \) at \( \left(7 \pi, \frac{3 \pi}{2}\right) \).
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The equation is \( 5 \sin x + 4 \cos y - 4 \sin x \cos y + x = 7 \pi \). When differentiating, remember to use the chain rule for the terms involving \( y \), since \( y \) is a function of \( x \). Show more…
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