The Gradient

Practice Questions

Linear Algebra › The Gradient

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$\begin{align*}&\text{Determine the gradient, } abla\text{, of the function}\&f(x,y,z)=12ln(3y)ln(2z)tan(2x)\end{align*}$

$\begin{align*}&\text{Find the vector } abla f \text{ for }f(x,y)=9x^{2}tan(2y)\end{align*}$

$\begin{align*}&\text{Calculate the gradient of the function}\&f(x,y)=4ycos(5x) - 13ln(3y)sin(3x)\end{align*}$

$f(x,y ) = (x+2y+3 )^{4}$

Evaluate the gradient vector of at .

$\begin{align*}&\text{Calculate the gradient of the function}\&f(x,y,z)=-18x^{2}yln(2z)\end{align*}$

$\begin{align*}&\text{Determine the gradient, } abla\text{, of the function}\&f(x,y)=-18e^{(5x)}tan(y)\end{align*}$

$\begin{align*}&\text{Calculate the gradient of the function}\&f(x,y,z)=-9xsin(6y)e^{(3z)}\end{align*}$

$\begin{align*}&\text{Determine the gradient, } abla\text{, of the function}\&f(x,y,z)=- xcos(3z)e^{(5y)} - 20\cdot 2^{(3z)}y^{2}ln(4x)\end{align*}$

$\begin{align*}&\text{Determine the gradient, } abla\text{, of the function}\&f(x,y)=11ysin(5x) + 11x^{2}tan(y)\end{align*}$

What is the the gradient vector of the following function?

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