Find the derivatives of the following functions with respect to x x=tan⁡(e−y)

Question

Find the derivatives of the following functions with respect to x   x=tan⁡(e−y)

Parminquale · Accepted Answer

Step 1   Given  x=tan⁡(e−y)  Step 2   Differentiating wrt x  e−y=tan−1x  Differentiating w.r.t x  e−y(−dydx)=11+x2  −e−ydydx=11+x2  dydx=−1(1+x2)e−y  dydx=−ey1+x2

Find the derivatives of the following functions with respect to x x=tan⁡(e−y)

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