The line above is wrong. x^2 * tan(2x) is a product, so you need to use the product rule. You are using the chain rule correctly, below.Minihoudini said:Homework Statement
substituting r for y and theta for x as it will be easier to read
find dy/dx if r=x^2 tan(2x)
I don't know the answer
Homework Equations
The Attempt at a Solution
d/dx (y) = d/dx [x^2 tan(2x)]
dy/dx = dx/dx [2x] d/dx [tan (2x)]
Minihoudini said:dy/dx = 2x sec^2 (2x) (2)
dy/dx = 4x sec^2 (2x)
its wrong though
A simple implicit problem refers to a type of mathematical problem where the solution is not explicitly stated, but rather implied or hidden within the problem itself.
To solve a simple implicit problem, you must first identify the implicit element or unknown variable, and then use mathematical operations and equations to manipulate the given information and solve for the unknown variable.
Examples of simple implicit problems include finding the slope of a line given two points, solving for the radius of a circle given its circumference, and determining the value of a variable in an algebraic equation.
The main difference between a simple implicit problem and an explicit problem is that in an explicit problem, the solution is stated directly and can be easily identified, whereas in an implicit problem, the solution is not directly stated and must be inferred or calculated using additional information.
Simple implicit problems are used in various fields such as mathematics, physics, and engineering to solve complex problems and model real-world situations. They are also used in data analysis and optimization problems.