All topicsIntro to CalculusTangent lines
Grade 12 · Free practice
Tangent lines
Use the derivative to write the equation of the tangent at a point and to approximate values.
Try it: three questions
Real questions from the practice bank. Tap an answer to check it.
Question 1 of 3
A line is tangent to the circle x² + y² = 25 at the point (3, 4). What is the slope of this tangent line?
Question 2 of 3
A particle moves along a horizontal line with position function s(t) = t³ − 4t² + 3t meters, where t is time in seconds. Find the acceleration of the particle at t = 2 seconds.
Question 3 of 3
A curve is defined by f(x) = 2x³ − 5x² + 3x. Find f'(2).
How this fits in
Tangent lines is one skill in the Intro to Calculus unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.
Practice tangent lines until it sticks
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