HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 140
Partial derivatives - calculator manual
UPC - 882780502291
View all HP 50g manuals
Add to My Manuals
Save this manual to your list of manuals |
Page 140 highlights
Chapter 12 Multi-variate Calculus Applications Multi-variate calculus refers to functions of two or more variables. In this Chapter we discuss basic concepts of multi-variate calculus: partial derivatives and multiple integrals. Partial derivatives To quickly calculate partial derivatives of multi-variate functions, use the rules of ordinary derivatives with respect to the variable of interest, while considering all other variables as constant. For example, ∂ (x cos( y)) = cos( y), ∂ (x cos( y)) = −x sin( y) ∂x ∂y , You can use the derivative functions in the calculator: DERVX, DERIV, ∂, described in detail in Chapter 11 of this manual, to calculate partial derivatives (DERVX uses the CAS default variable VX, typically, 'X'). Some examples of first-order partial derivatives are shown next. The functions used in the first two examples are f(x,y) = x cos(y), and g(x,y,z) = (x2+y2)1/2sin(z). Page 12-1