WebJun 29, 2024 · If a function depends on only one variable, then its derivative is of course 'with respect to' that one variable, because the function only depends on one parameter, … Web1) Calculate the derivative of y with respect to x. y^ (−5/2)+x^ (5/2)=1 dy/dx= 2) Calculate the derivative of yy with respect to x. xe^y=2xy+5y^5 dy/dx= 3) Differentiate the equation x5^+5xy^2=10 with respect to the variable t and express dy/dt in terms of dx/dt. (Use D for dx/dt). dy/dt= This problem has been solved!
Derivatives 101: what does "with respect to" mean?
WebDerivative Calculator Step-by-Step Examples Calculus Derivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator … WebA derivative is a function which measures the slope. x in some way, and is found by differentiating a function of the form y = f (x). When x is substituted into the derivative, … how to separate pivot table rows
Derivative Calculator • With Steps!
WebNov 17, 2024 · Definition: Partial Derivatives. Let f(x, y) be a function of two variables. Then the partial derivative of f with respect to x, written as ∂ f / ∂ x,, or fx, is defined as. ∂ f ∂ x … WebExample: x 2 + y 2 = r 2. Differentiate with respect to x: d dx (x 2) + d dx (y 2) = d dx (r 2) Let's solve each term: Use the Power Rule: d dx (x2) = 2x. Use the Chain Rule (explained below): d dx (y2) = 2y dy dx. r 2 is a … WebQuestion: - Give the definition of the first-order partial derivative with respect to \( x \) of \( f(x, y) \) and how do you compute it - Give the definition of the first-order partial derivative with respect to y of \( f(x, y) \) and how do you compute it - What are the first-order partial derivative of \( f(x, y)=e^{g(x, y)} \) ? - What is the approximation of \ how to separate plastic pails