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Student[VectorCalculus][diff] - compute the derivative of a Vector-valued function
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Calling Sequence
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diff(f, v)
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Parameters
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f
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Vector or algebraic expression
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v
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name or name, name, ...; specify the variables of differentiation
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Description
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The diff(f, v) calling sequence is an extension of the top-level diff that performs coordinate-wise differentiation on Vectors (including vector fields), in the coordinate systems of the Student[VectorCalculus] package. If f is not a Vector, the arguments are passed to the top-level diff command.
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Examples
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![with(Student[VectorCalculus])](/support/helpjp/helpview.aspx?si=4460/file05193/math65.png)
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![Vector[column]([[1], [2*t], [3*t^2]], ["x", "y", "z"])](/support/helpjp/helpview.aspx?si=4460/file05193/math72.png)
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*s*t-sin(s*t)], [-sin(s*t)*s*t+cos(s*t)]], ["x", "y"])](/support/helpjp/helpview.aspx?si=4460/file05193/math79.png)
| (2) |
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![SetCoordinates(spherical[r, phi, theta])](/support/helpjp/helpview.aspx?si=4460/file05193/math83.png)
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![spherical[r, phi, theta]](/support/helpjp/helpview.aspx?si=4460/file05193/math86.png)
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![F := Vector[column]([[a*r], [0], [0]], ["r", "phi", "theta"], "field")](/support/helpjp/helpview.aspx?si=4460/file05193/math93.png)
| (4) |
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*cos(theta)^2*sin(phi)+a*r*cos(phi)*sin(theta)^2*sin(phi)-a*r*sin(phi)*cos(phi)], [a*r*cos(phi)^2*cos(theta)^2+a*r*cos(phi)^2*sin(theta)^2+a*r*sin(phi)^2], [0]], ["r", "phi", "theta"], "field")](/support/helpjp/helpview.aspx?si=4460/file05193/math100.png)
| (5) |
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![Vector[column]([[r], [0], [0]], ["r", "phi", "theta"], "field")](/support/helpjp/helpview.aspx?si=4460/file05193/math107.png)
| (6) |
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