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At what point on the parabola 𝑦=3𝑥2+2𝑥 is the tangent line parallel to the line 𝑦=10𝑥−2? Bold text start[6 marks]

Question

At what point on the parabola 𝑦=3𝑥2+2𝑥 is the tangent line parallel to the line 𝑦=10𝑥−2? Bold text start[6 marks]
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Solution 1

To find the point on the parabola where the tangent line is parallel to the line y=10x-2, we need to find where the derivative of the parabola is equal to the slope of the line.

Step 1: Find the derivative of the parabola The derivative of y=3x^2+2x is y'=6x+2.

Step 2: Set the derivative equal to Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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