Question

Let f (x, y, z) = x cos (y z). Find all partial derivatives of the first, second, and third order

Answer 1

first order
dfdx =cos(y*z)

dfdx =-x*z*sin(y*z)

dfdx =-x*y*sin(y*z)

second order
dfdx =0

dfdx =-x*z^2*cos(y*z)

dfdx =-x*y^2*cos(y*z)

third order
dfdx =0

dfdx =x*z^3*sin(y*z)

dfdx =x*y^3*sin(y*z)

Rest:: too much work