Solve Matrix

$$[ K ] _ { g } = \frac { E A } { L } \begin{bmatrix} \begin{array} { c c c c } { \cos ^ { 2 } ( \theta ) } & { \cos ( \theta ) \sin ( \theta ) } & { - \cos ^ { 2 } ( \theta ) } & { - \cos ( \theta ) \sin ( \theta ) } \\ { \cos ( \theta ) \sin ( \theta ) } & { \sin ^ { 2 } ( \theta ) } & { - \cos ( \theta ) \sin ( \theta ) } & { - \sin ^ { 2 } ( \theta ) } \\ { - \cos ^ { 2 } ( \theta ) } & { - \cos ( \theta ) \sin ( \theta ) } & { \cos ^ { 2 } ( \theta ) } & { \cos ( \theta ) \sin ( \theta ) } \\ { - \cos ( \theta ) \sin ( \theta ) } & { - \sin ^ { 2 } ( \theta ) } & { \cos ( \theta ) \sin ( \theta ) } & { \sin ^ { 2 } ( \theta ) } \end{array} \end{bmatrix}$$

Differentiate w.r.t. K

$$1$$

Steps Using Definition of a Derivative

The derivative of ax^{n} is nax^{n-1}.

$$K^{1-1}$$

Subtract 1 from 1.

$$K^{0}$$

For any term t except 0, t^{0}=1.

$$1$$

Evaluate

$$K$$