jtt
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Homework Statement
find dy/dx
Homework Equations
x= tan y
The Attempt at a Solution
d/dx(x=tanY)
1=(tan(dy/dx))+sec^2+y
The discussion focuses on finding the derivative dy/dx for the equation x = tan(y). Participants emphasize that differentiation should be applied to both sides of the equation, leading to the correct application of the chain rule. The correct differentiation process involves using the formula d/dx(f(u)) = f'(u) * du/dx, which is essential for solving this type of problem. Missteps in applying the chain rule and misunderstanding the differentiation of equations are highlighted as common errors.
PREREQUISITESStudents studying calculus, particularly those tackling implicit differentiation and trigonometric derivatives, as well as educators looking for clarification on common student errors in differentiation.
First off, you don't take the derivative of an equation - you take the derivative of each side of an equation.jtt said:Homework Statement
find dy/dx
Homework Equations
x= tan y
The Attempt at a Solution
d/dx(x=tanY)
Nope.jtt said:1=(tan(dy/dx))+sec^2+y