Derivative of Implicit Multivariable Function – Calculate a tangent equation with tan – Exercise 4352

Exercise

A function is given by the equation

y=tan⁡(xy),0<x<π2y=\tan(xy),0<x<\frac{\pi}{2}

Find the tangent equation to the graph of the given function at the point y=1.

Final Answer


y−1=42−π⋅(x−π4)y-1=\frac{4}{2-\pi}\cdot(x-\frac{\pi}{4})

Solution

Coming soon…

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