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Calculus – Linear Equations Practice Set · 1

Calculus · Calculus

Course: Calculus Book: Calculus

Question

Question:
Which of the following is the equation of the tangent line to f of x equals x squared plus 3x, at x equals 1?

Calculus – Linear Equations Practice Set · 1

This lesson demonstrates how to find the equation of a tangent line to a polynomial function at a given point. Students apply the power rule to find the derivative, evaluate it for the slope, and use point-slope form to write the final equation.

In this lesson, you will learn to:
• Evaluate a function at a given x-value to find the point of tangency
• Apply the power rule to differentiate a polynomial and obtain the slope function
• Evaluate the derivative at a specific x-value to find the slope of the tangent line
• Use point-slope form to write the equation of the tangent line

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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