Calculus – Linear Equations Practice Set · 3

Question:
The position of a particle is given by s of t equals t cubed minus 6t squared plus 9t plus 2. Find the equation of the tangent line to s of t at t equals 2.

Calculus – Linear Equations Practice Set · 3

This lesson finds the equation of the tangent line to a cubic position function at a specific point. Students apply the power rule to differentiate, evaluate the derivative for the slope, and use point-slope form to write the tangent line equation.

In this lesson, you will learn to:
• Differentiate a cubic polynomial using the power rule
• Evaluate a function and its derivative at a given input value
• Apply point-slope form to write the equation of a tangent line
• Verify a tangent line equation by checking both the point and slope conditions

Course: Calculus
Level: Grade 12

Pause before each step, try the next part yourself, and then continue to check your reasoning.

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