Sentences with PARTIAL-DERIVATIVE
Check out our example sentences below to help you understand the context.Sentences
1
"The partial derivative of f(x, y) with respect to x is denoted as ∂f/∂x."
2
"To compute a partial derivative, we differentiate a function with respect to one variable while holding other variables constant."
3
"In calculus, finding partial derivatives is an essential step in determining critical points."
4
"The chain rule is often used to calculate partial derivatives of composite functions."
5
"To find a partial derivative, one can derive the function twice using different variables."
6
"The concept of partial derivatives was introduced by the mathematician Augustin-Louis Cauchy."
7
"In thermodynamics, partial derivatives play a crucial role in computing heat capacities."
8
"The total derivative of a function is a generalization of the partial derivative."
9
"To differentiate a partial derivative, treat other variables as constants."
10
"The notation for a second partial derivative of a function f(x, y) is ∂²f/∂x²."
11
"In machine learning, partial derivatives are employed in training neural networks."
1
"To find the rate of change of a multivariable function, we need to calculate its partial derivatives."
2
"The partial derivative of a function with respect to one variable involves treating the other variables as constants."
3
"When taking the partial derivative of a function, each variable is differentiated one at a time while holding the others constant."
4
"The concept of partial derivatives plays a crucial role in optimization problems in mathematics."
5
"The chain rule allows us to calculate partial derivatives of composite functions."
6
"In economics, partial derivatives are used to determine how one economic variable affects another holding all other variables constant."
7
"In thermodynamics, partial derivatives are used to analyze how variables such as temperature, pressure, and volume change in a system."
