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Duplicate of Derivative Rules :) Flashcards | StudBud

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Duplicate of Derivative Rules :)

14 terms·StudBud Administration·134 plays

This is a practice exam for derivatives designed for a high school level AB Calculus class.

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Questions 14

Answers

1
Find the derivative.
1/x + 1/2x
1/(√x) - 1/(2x√x)
1/(2√x) + 1/(√x)
1/(2√x) + 1/(2x√x)
2
Find the derivative
ax log(a)
ax/ln(a)
ax ln(a)
1/ax
3
Find the slope of the tangent line.
-3/(x-2)2
-3(x+1)/(x-2)2
1/(x-2)
-5/(x-2)2
4
Find dy/dx. (Last question. Stay strong!)
1/(4+cosx)
-sinx/(4+cosx)(ln(10))
sinxcosx/(1+cosx)
sinx/(4+cosx)(ln(e))
5
Find the slope of the tangent line.
1/2(√13x2-5x+8)
26x-5/(13x2-5x+8)2
26x-5/2(√13x2-5x+8)
26x-5/(13x2-5x+8)
6
dy/dx of x⁴sin(x)
1/x4sin(x)
cos(x)x4 + 4x3sin(x)
4x3sin(x) - cos(x)x4
4x3sin(x)cos(x)
7
Find the derivative
√sec(x3)tan(x3)
3x2sec(x)tan(x)/√(sec(x3))
3x2√sec(x3)tan(x3)
3x2sec(x3)tan(x3)/2√(sec(x3))
8
Find the derivative
tan(x)
-xsin(x)
cos(x)
1/x
9
Find the slope of the tangent line.
2/3 + x4
2x/3 + 6/x3
x2/x3
2x/3 - 6/x3
10
Find the slope of the tangent line.
2eln(x^2)/x + 21/x8
2eln(x^2)/x + 3/x-8
e2ln(x)+3x-9
2eln(x)-3x-8
11
Find the dy/dx.
(ex)2/e2x
-ex/(ex+1)2
-1/(ex-1)2
-ex/(ex-1)2
12
Find dy/dx.
(-2cotx)(ln(2))(csc2x)
(-2cotx)(csc2x)
(ln(2cotx)))(-csc2x)
-2csc2x
13
Find the derivative
tan(ex)
e2x
ex
1/ex
14
Find dy/dx
12x2-6x+2
12x2+6x+2
24x+6
12x2+3x-2