Linear Algebra - Gradients and Hessians of Quadratic and Linear Functions

$\begin{align*}&\text{Calculate the Hessian matrix of the function}\&f(x,y)=2cos(2x)cos(5y) + 6\cdot 2^{(6x)}tan(4y)\end{align*}$

$\begin{align*}&\text{Determine the Hessian, }H\text{, of the function}\&f(x,y,z)=-cos(6x)tan(5y)sin(5z)\end{align*}$

$\begin{align*}&\text{Find the matrix }Hf \text{ for }f(x,y)=- 8ytan(5x) - 13\cdot 5^{(2y)}x^{2}\end{align*}$

$\begin{align*}&\text{Determine the gradient, } abla\text{, of the function}\&f(x,y)=10sin(2x)sin(6y)\end{align*}$

$\begin{align*}&\text{Calculate the gradient of the function}\&f(x,y)=-7\cdot 2^{(5y)}x\end{align*}$

$\begin{align*}&\text{Find the vector } abla f \text{ for }f(x,y)=- 8ytan(5x) - 13\cdot 5^{(2y)}x^{2}\end{align*}$

$\begin{align*}&\text{Determine the Hessian, }H\text{, of the function}\&f(x,y,z)=9ln(2x)ln(2z)e^{(y)}\end{align*}$

$\begin{align*}&\text{Find the matrix }Hf \text{ for }f(x,y,z)=13y^{2}tan(2x)tan(4z)\end{align*}$

$\begin{align*}&\text{Determine the gradient, } abla\text{, of the function}\&f(x,y,z)=-cos(6x)tan(5y)sin(5z)\end{align*}$

$\begin{align*}&\text{Find the vector } abla f \text{ for }f(x,y,z)=19z^{2}cos(2y)e^{(2x)} - 17\cdot 5^{(2y)}ln(4x)e^{(5z)}\end{align*}$

Gradients and Hessians of Quadratic and Linear Functions