3x2sec(x3)tan(x3)/2√(sec(x3))

Derivative Rules :) - Eric S & Bronwyn Flashcards

1

Find dy/dx. (Last question. Stay strong!)

sinxcosx/(1+cosx)
sinx/(4+cosx)(ln(e))
1/(4+cosx)
-sinx/(4+cosx)(ln(10))

2

Find dy/dx.

(-2cotx)(ln(2))(csc2x)
(-2cotx)(csc2x)
-2csc2x
(ln(2cotx)))(-csc2x)

3

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)

4

Find the derivative

3x2sec(x3)tan(x3)/2√(sec(x3))
√sec(x3)tan(x3)
3x2√sec(x3)tan(x3)
3x2sec(x)tan(x)/√(sec(x3))

5

Find the slope of the tangent line.

2eln(x^2)/x + 3/x-8
2eln(x)-3x-8
e2ln(x)+3x-9
2eln(x^2)/x + 21/x8

6

Find dy/dx

24x+6
12x2-6x+2
12x2+3x-2
12x2+6x+2

7

Find the slope of the tangent line.

2x/3 + 6/x3
x2/x3
2/3 + x4
2x/3 - 6/x3

8

Find the derivative

-1/sin(x)
1/(1-x2)1/2
-1/(1-x2)1/2
1/cos(x)

9

dy/dx of x⁴sin(x)

cos(x)x4 + 4x3sin(x)
4x3sin(x) - cos(x)x4
1/x4sin(x)
4x3sin(x)cos(x)

10

Find the slope of the tangent line.

-5/(x-2)2
-3(x+1)/(x-2)2
-3/(x-2)2
1/(x-2)

11

Find the dy/dx.

-ex/(ex+1)2
-1/(ex-1)2
-ex/(ex-1)2
(ex)2/e2x

12

Find the derivative

ax/ln(a)
ax log(a)
ax ln(a)
1/ax

13

Find the derivative

1/x
cos(x)
-xsin(x)
tan(x)

14

Find the derivative.

1/(√x) - 1/(2x√x)
1/(2√x) + 1/(2x√x)
1/(2√x) + 1/(√x)
1/x + 1/2x

15

Find the derivative

tan(ex)
e2x
ex
1/ex

Derivative Rules :) - Eric S & Bronwyn

Questions 15

Derivative Rules :) - Eric S & Bronwyn

Questions 15