Find an equation for the tangent to the ellipse (x2/4) + y2 = 2 at the point (−2, 1).

Question

Find an equation for the tangent to the ellipse (x2/4) + y2 = 2 at the point (−2, 1).
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Solution 1

Step 1: Write down the equation of the ellipse. The given equation is (x^2/4) + y^2 = 2.

Step 2: Differentiate the equation with respect to x to find the slope of the tangent line at any point (x, y) on the ellipse. The derivative is (x/2) + 2y*y' = 0.

Step 3: Solve the derivative equation for y', Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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