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Derivatives and Tangent Lines Flashcards | StudBud

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Find the slope of tangent to the curve y = 3x2 - 6x + 10 at the point x = -2

Write a line that is tangent to f(x) = x2 + 5x at the point (1,6).

Derivatives and Tangent Lines

7 terms·StudBud Administration

A #calculus quiz to review #tangent lines and basic #derivatives

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Questions 7

Answers

1
Write a line that is tangent to f(x) = x² + 5x at the point (1,6).
7x - y = 1
7x + y = 1
7x - y = -1
7x + y = -1
2
Find the slope of tangent to the curve y = 3x²- 6x + 10 at the point x = -2
0
34
- 18
7
3
Find d/dx at x = 2
-5 7/16
-5 35/36
-5 7/16
-5 15/16
4
Find the the x-value(s) of the horizontal tangents of the function f(x) = x³- 9x²+ 15x - 6
2,3
-2,-3
-1,-5
1,5
5
Find equation of normal to the curve y = x² - 5x + 8 at the point where x = 0
x - 5y + 40 = 0
5x + y = 8
y = 5x - 40
5x - y = 8
6
Write an equation of the line tangent to y=3sinx at x = π/2.
y = 3(x - π/2)
y = 3 - 3(x - π/2)
y = 3
y = -3(x - π/2)
7
Find \frac{d}{dx}(3x^2-5x+10)
6x
9x - 5
6x - 5
9x