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Finding gradients and first partials for the following: 1.f(x,y,z) = xe^z + ycos(x) 2. f(x,y,z) = (x+y+z)^8 3. f(x,y) = (x^2+y^2)e^(-y^2)
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\(\nabla f =(e^z,\cos x, ee^z)\)
I'm having trouble getting from DuF(x,y)=Fx(x,y)a + fy(x,y)b
Sorry \(\nabla f =<e^z,\cos x, xe^z>\)
http://www.wolframalpha.com for the answers. For notes and examples: http://tutorial.math.lamar.edu/Classes/CalcIII/GradientVectorTangentPlane.aspx http://tutorial.math.lamar.edu/Classes/CalcIII/PartialDerivatives.aspx
http://www.wolframalpha.com/input/?i=grad++%28xe^z+%2B+ycos%28x%29%29 is that the proper form for wolframalpha?
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