What is the derivative of f(x) = 3x (x2 - 6x)4

3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)

Duplicate of Derivatives Flashcards

1

Find the derivative of y = csc(x)

-csc(x)cot(x)
sec(x)tan(x)
sec(x)
csc2(x)

2

What is the derivative of f(x) = ln(3)

0
1/3
3/x
1/3x

3

What is the derivative of the function f(x) = x⁵+ 4x²- 13

5x4 - 8x
5x4 + 8x
(1/6)x6 + (4/3)x3 - 13x
5x + 8x

4

Find the derivative of e^ln(2x-1)

eln^(2x-1)
2
0
2eln^(2x-1)

5

Differentiate the function f(x) = e^{x^4}

4x3ex^4
4x3ex^3
4x3
ex^4

6

What is the derivative of the function f(x) = cos(x) + 7x³

-sin(x) + 21x2
-cos(x) + 21x2
csc2(x) + 21x2
sin(x) + 21x2

7

If the derivative of a function is zero everywhere, the function is most likely...

everywhere zero
constant
growing exponentially
concave up

8

What is the derivative of f(x) = 3x (x² - 6x)⁴

3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)
12x (x2 - 6x)3
3(x2 - 6x)4 + 4(x2 - 6x)3(2x - 6)
12x (x2 - 6x)3(2x - 6)

9

The derivative of a function is referred to as the...

zero of a function
set of solutions of an equation
slope of a line
None of the above

10

What is the rule shown in the image

None of the above
Product Rule
Quotient Rule
Chain Rule

11

What is the derivative of f(x) = cot^-1(3x)

-3/9x2+1
-3/3x√(9x2-1)
-1/√(1-9x2)
-1/9x2+1

12

What is the derivative of y = x + cot(x)

1-csc2(x)
1+sec2(x)
1+csc2(x)
1-sec2(x)

13

What is the rule shown in the image

Product Rule
Quotient Rule
None of the above
Chain Rule

14

What is the derivative of f(x) = 2x²¹ + 5x⁵ + 2

42x20 + 25x4 + 2x
42x21 + 25x5 + 2
42x20 + 25x4
42x21 + 25x5

15

What is the derivative of the function f(x) = (2x² + 4x)⁵

5(2x2 + 4x)(4x + 4)
5(4x + 4)4
5(2x2 + 4x)4(4x + 4)
(2x2 + 4x)4(4x + 4)

16

What is the rule shown in the image

Chain Rule
None of the above
Quotient Rule
Product Rule

17

Find the derivative of y = e^sin(x)

ecos(x)
esin(x)
cos(x)esin(x)
sin(x)ecos(x)

Duplicate of Derivatives

Questions 17

Duplicate of Derivatives

Questions 17