Question #102274
f(y)=sinx+cscx²y+2xy
1
Expert's answer
2020-02-04T10:53:55-0500

f(x,y)=sin(x)+csc(x2y)+2xyf(x,y)=sin(x)+csc(x^2y)+2xy

fx=cos(x)2xycos(x2y)sin2(x2y)+2y\frac{\partial f}{\partial x}=cos(x)-2xy\frac{cos(x^2y)}{sin^2(x^2y)}+2y

fy=x2cos(x2y)sin2(x2y)+2x\frac{\partial f}{\partial y}=-x^2\frac{cos(x^2y)}{sin^2(x^2y)}+2x


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