Duplicate of Calculus: Derivative Review

Question 1

What is the derivative of y=xsinx...go slow...

Accepted Answer

y'=xcosx+sinx

Question 2

The second derivative of y=sin x is?

Accepted Answer

-sin(x)

Question 3

The derivative of 13x4 is?

Accepted Answer

52x3

Question 4

If f ' (9) < 0 and f '' (9) > 0, at x = 9, the graph of f(x) is?

Accepted Answer

decreasing and concave up

Question 5

The derivative of a function is a ________________ calculator.

Accepted Answer

slope

Question 6

If f '' (4) = 0 and f '' (x) changes sign at x = 4, then at x = 4, there is a(n)?

Accepted Answer

point of inflection

Question 7

If g''(3) = 10, what is happening at x=3?

Accepted Answer

concave up

Question 8

The derivative of f(x)=e3x-4 is?

Accepted Answer

3e3x-4

Question 9

If f '(3)=0 and f ''(3)=4.5, then at x=3 there is a(n)?

Accepted Answer

relative min

Question 10

If f ' (1) = -2, what is known about f(x) at x = 1?

Accepted Answer

decreasing

Question 11

The derivative of g(x)=ln(4x-9) is?

Accepted Answer

4/(4x-9)

Question 12

The derivative of y=45x-9 is?

Accepted Answer

(ln4)45x-9(5)

Question 13

If f ' (9) > 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?

Accepted Answer

increasing and concave down

Question 14

If g''(3) = 10, what is happening at x=3?

Accepted Answer

concave up

Question 15

If f ' (9) < 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?

Accepted Answer

decreasing and concave down

Question 16

The derivative of y=sin2(3x) is?

Accepted Answer

2sin(3x)(cos(3x))(3)

Question 17

The second derivative of 6x is?

Accepted Answer

0

Question 18

If f ' (4) = 0 and f '' (4) = -1.23456, then at x = 4, there is a(n)?

Accepted Answer

relative max

Question 19

The second derivative of h(x)=e6x is?

Accepted Answer

36e6x

Question 20

The derivative of f(x)=sec(8x-3) is?

Accepted Answer

sec(8x-3)tan(8x-3)(8)

Questions 20