(Choose 1 answer)
(See picture)
A. (iv)
B. (ii)
C. (iii)
D. (i)
For the following functions, calculate \frac{df}{dt} in matrix form:f(x)=f(x_{1},x_{2})=x_{1}^{4}sin(x_{2})x_{1}=2tx_{2}=1+t^{2}
(i)[\begin{matrix}4x_{1}^{3}sin(x_{2})\\ x_{1}^{4}cos(x_{2})\end{matrix}][\begin{matrix}2&2t\end{matrix}].
(ii) [4x_{1}^{3}sin(x_{2})x_{1}^{4}cos(x_{2})][\begin{matrix}2\\ 2t\end{matrix}].
(iii)[\begin{matrix}4x_{1}^{3}sin(x_{2})\\ x_{1}^{4}cos(x_{2})\end{matrix}][\begin{matrix}2t&1+t^{2}\end{matrix}].
(iv)[\begin{matrix}4x_{1}^{3}sin(x_{2})&x_{1}^{4}cos(x_{2})\end{matrix}][\begin{matrix}2t\\ 1+t^{2}\end{matrix}].
an tot ni
Ext (32
