Calculus – Linear Equations Practice Set · 1
Calculus · Calculus
Step-by-step video solution
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Problem and lesson overview
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.
Find more learn
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.
Find more learn
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