- #1
teng125
- 416
- 0
f( x(1), ..., x(n) ) = sum (i=1) sin(x(i)^2) x(i)
does anybody knows how to solve this pls
does anybody knows how to solve this pls
teng125 said:f( x(1), ..., x(n) ) = sum (i=1) sin(x(i)^2) x(i)
does anybody knows how to solve this pls
No, no, no. Another wrong answer. It's uv'. Repeat after me: (uv)' = u'v + uv', (uv)' = u'v + uv'.teng125 said:i think can by using u'v + vu' formula rite??
A partial derivative is a mathematical concept that measures the rate of change of a function with respect to one of its variables while holding all other variables constant.
A partial derivative is calculated by treating the other variables as constants and taking the derivative of the function with respect to the variable of interest.
The purpose of taking a partial derivative is to understand how a function changes when only one of its variables is varied, while keeping the other variables constant. It is often used in multivariable calculus to optimize functions and solve real-world problems.
The partial derivative of a function with Sin(x^2) is calculated by using the chain rule. The derivative of Sin(x^2) is Cos(x^2) multiplied by the derivative of x^2, which is 2x. Therefore, the partial derivative is 2xCos(x^2).
A partial derivative is a special case of a total derivative, which measures the instantaneous rate of change of a function with respect to all of its variables. A total derivative includes the effects of all variables, while a partial derivative only considers the effect of one variable.