What is the partial derivative with respect to x of arctan(x/y)? I know the derivative of arctan(x) is 1/(1-(x.x)) does this help?
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Originally Posted by syster What is the partial derivative with respect to x of arctan(x/y)? I know the derivative of arctan(x) is 1/(1-(x.x)) does this help? Hi Just consider y as a constant BTW the derivative of arctan(x) is 1/(1+x²)
Yes it helps Originally Posted by syster What is the partial derivative with respect to x of arctan(x/y)? I know the derivative of arctan(x) is 1/(1+(x.x)) does this help? Apply the chain rule of differentiation. We know that [u(v(x))]'=v'(x) u'(v(x)) Here, u=arctan and v(x)=x/y so the derivative of arctan(x/y)=(1/y)/(1+(x/y)^2)
thanks mistake with the minus instead to the plus just hit the wrong button
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