Practice Slope Of The Tangent (1.2) - Tangents and Normals - IB 10 Mathematics

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the slope of the tangent to the curve $y = 3x + 2$ at $x = 1$ ?
Show hintHide hint
Use the derivative of the linear function.
Question 2.
Find the point of tangency on the curve $y = x^3$ at $x = 2$ .
Show hintHide hint
Substitute \$ x = 2 \$ into the equation.
3Question 3.
What is the slope of the tangent to the curve $y = x^2$ at $x = 2$ ?
- 2
- 4
- 3
Show hintHide hint
Calculate the derivative and evaluate it.
4Question 4.
True or False: The equation of the tangent line can be found using any two points on the tangent.
- True
- False
Show hintHide hint
Think about the definition of a tangent line.
Question 5.
Find the equation of the tangent to $y = 2x^3 - 5x$ at $x = 1$ and interpret its meaning graphically.
Show hintHide hint
Evaluate the function and its derivative at \$ x = 1 \$.
Question 6.
Determine the location of the tangent's slope being horizontal for the function $y = x^3 - 3x$ and find the points.
Show hintHide hint
Find critical points by setting the derivative equal to zero.

4 more questions in this section. Enroll free to practise them all.