Quiz on partial differentiation

Differentiate with respect to x. $f\left(x\right)=x$  

•  $f'\left(x\right)=1$  

•  $f'\left(x\right)=0$  

•  $f'\left(x\right)=10x$  

•  $f'\left(x\right)=x$  

Find  $\frac{\partial z}{\partial x}$  for  $z=4x^2+3y^2+3x$  

•  $8x+6y$  

•  $8x+3$  

•  $4x^2+6y$  

•  $8x+6$  

Find  $\frac{\partial z}{\partial y}$  for  $z=6x^5+4y^3+4y$  

•  $12y^4+4y$  

•  $30x^4+12y^2+4$  

•  $12y^2+4$  

•  $30x^4+4$  

Find f_y for the function f(x,y) = yx³ - 2x²y³

• y - y³

• y - 6xy²

• x³ - 6x²y²

• yx³ - 2x²y³

Determine the first partial derivative of f with respect to y for

f(x,y) = x² + 3xy

• 2x + 3y

• 2x + 3x

• x² + 3y

• 3x