Math Problem Statement
Find the equation of the tangent line to the curve at the point (1,𝑟(1))(1,r(1)).
𝑦=
Solution
To find the equation of the tangent line to the curve at the point , we need to follow these steps:
Step 1: Identify the curve
You have not provided the equation of the curve . Could you clarify what function is? For example, is it a specific function like or something else?
Step 2: Use the formula for the equation of the tangent line
The general form of the equation of the tangent line at a point on the curve is:
where:
- is the slope of the tangent line, which is the derivative evaluated at .
Step 3: Find the derivative
To find the slope of the tangent line, we need to compute the derivative . If you can provide the equation for , I can help you find the derivative.
Once I have the derivative, I can plug in to get the slope .
Step 4: Write the equation of the tangent line
Using the values and , I will plug them into the tangent line equation to give you the final result.
Please provide the function so I can continue!
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Tangent Lines
Formulas
Equation of the tangent line: y - y1 = m(x - x1)
Derivative of a function: r'(x)
Theorems
Derivative as the slope of the tangent line
Suitable Grade Level
Grades 11-12
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