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AP Calculus - Chain rule and Implicit differentiation Flashcards | StudBud

Explore/AP Calculus - Chain rule and Implicit differentiation

AP Calculus - Chain rule and Implicit differentiation

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AP calculus review over advance derivatives

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Questions 6

Answers

1
Find dy/dx.
cos2(xy) / x
cos2(xy) - x / x
1 -y tan(xy) sec(xy) / x tan(xy) sec(xy)
sec2(xy) - y / x
2
Find the derivative.
2x(sin2x - x cos2x)
2x(sin2x + cos2x)
4x cos 2x
2x(sin2x + x cos2x)
3
What is the slope of the line tangent to the curve 3y²- 3x²= 6 - 2xy at the point (3,2)?
5/3
7/9
6/7
4/9
4
Find f'(x).
x / √2x-3
-x+3 / √2x-3
5x-3 / 2√2x-3
3x-3 / √2x-3
5
If 3x²+ 2xy + y²= 2, then the value of dy/dx at x = 1 is...
2
Undefined
0
-2
6
If y²- 2xy = 21, then dy/dx at the point (2,-3) is...
-6/5
-2/5
3/8
3/5