2C1   Tensor Valued Function of a Scalar  

 

Let    be a tensor-valued function of a scalar t. t can be time, for example. Differentiating with respect to the scalar (time). 

For example the tensor-valued function can be represented by:

               

The usual rules of differential calculus hold good for the above .

  Let us suppose that be tensors,  a vector, and  a scalar-valued function of t.

2C1 Example Problem 1 

2C1 Example Problem 2