HP Prime Graphing NW280AAABA GradExpr,LstVar, Hessian Returns the Hessian matrix of an expression

Gradient Returns the gradient of an expression. With a list of variables as second argument, returns the vector of partial derivatives.

grad(Expr,LstVar)

Example:

grad(2*x^2*y-x*z^3,[x,y,z]) gives [2*2*x*y- z^3,2*x^2,-x*3*z^2]

Hessian Returns the Hessian matrix of an expression.

hessian(Expr,LstVar)

Example:

hessian(2*x^2*y-x*z,[x,y,z]) gives [[4*y,4*x,- 1],[2*2*x,0,0],[-1,0,0]]

Integral

By Parts u Performs integration by parts of the expression f(x)=u(x)*v'(x), with f(x) as the first argument and u(x) (or 0) as the second argument. Specifically, returns a vector whose first element is u(x)*v(x) and whose second element is v(x)*u'(x). With the optional third, fourth and fifth arguments you can specify a variable of integration and bounds of the integration. If no variable of integration is provided, it is taken as x.

ibpu(f(Var), u(Var), [Var], [Real1], [Real2])

Example:

ibpu(x*ln(x), x) returns [x^2*ln(x) –x*ln(x)-x]

By Parts v Performs integration by parts of the expression f(x)=u(x)*v'(x), with f(x) as the first argument and v(x) (or 0) as the second argument. Specifically, returns a vector whose first element is u(x)*v(x) and whose second element is v(x)*u'(x). With the optional third, fourth and fifth arguments you can specify a variable of integration and bounds of the integration. If no variable of integration is provided, it is taken as x.

ibpdv(f(Var), v(Var), [Var], [Real1], [Real2])

Example:

ibpdv(ln(x),x) gives [x*ln(x),-1]

328 Functions and commands