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Derivative Rules Flashcards | StudBud

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Derivative Rules

15 terms·StudBud Administration

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

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Questions 15

Answers

1
Find the slope of the tangent line.
26x-5/(13x2-5x+8)2
26x-5/(13x2-5x+8)
26x-5/2(√13x2-5x+8)
1/2(√13x2-5x+8)
2
Find the derivative
cos(x)
tan(x)
-xsin(x)
1/x
3
Find the derivative
ex
1/ex
e2x
tan(ex)
4
Find dy/dx.
-2csc2x
(ln(2cotx)))(-csc2x)
(-2cotx)(csc2x)
(-2cotx)(ln(2))(csc2x)
5
Find dy/dx. (Last question. Stay strong!)
sinx/(4+cosx)(ln(e))
-sinx/(4+cosx)(ln(10))
1/(4+cosx)
sinxcosx/(1+cosx)
6
Find the derivative
3x2√sec(x3)tan(x3)
3x2sec(x)tan(x)/√(sec(x3))
√sec(x3)tan(x3)
3x2sec(x3)tan(x3)/2√(sec(x3))
7
Find the slope of the tangent line.
2x/3 + 6/x3
2/3 + x4
x2/x3
2x/3 - 6/x3
8
Find the slope of the tangent line.
-3(x+1)/(x-2)2
1/(x-2)
-3/(x-2)2
-5/(x-2)2
9
Find the derivative.
1/(2√x) + 1/(√x)
1/(2√x) + 1/(2x√x)
1/x + 1/2x
1/(√x) - 1/(2x√x)
10
Find the dy/dx.
-ex/(ex-1)2
-1/(ex-1)2
-ex/(ex+1)2
(ex)2/e2x
11
Find dy/dx
12x2-6x+2
24x+6
12x2+6x+2
12x2+3x-2
12
Find the derivative
1/cos(x)
1/(1-x2)1/2
-1/(1-x2)1/2
-1/sin(x)
13
Find the derivative
ax ln(a)
ax log(a)
ax/ln(a)
1/ax
14
Find the slope of the tangent line.
2eln(x^2)/x + 21/x8
2eln(x^2)/x + 3/x-8
2eln(x)-3x-8
e2ln(x)+3x-9
15
dy/dx of x⁴sin(x)
4x3sin(x) - cos(x)x4
1/x4sin(x)
cos(x)x4 + 4x3sin(x)
4x3sin(x)cos(x)