Duplicate of Duplicate of Calculus Derivative Rules/concept

Question 1

What is the slope of every tangent line to f(x)=3x+7.

Accepted Answer

3

Question 2

If the the velocity is positive and the acceleration is negative the particle is moving...

Accepted Answer

right and slowing down

Question 3

The derivative of csc x is...

Accepted Answer

-cot x csc x

Question 4

The derivative of -sin(2x)3 is

Accepted Answer

-24x2cos(8x3)

Question 5

Which rule or rules apply to derive y = 2x3cos(4x)

Accepted Answer

product and chain

Question 6

When is a derivative undefined?

Accepted Answer

hole, vertical asymptote, cusp, sharp turn

Question 7

The derivative of sec x is

Accepted Answer

sec x tan x

Question 8

True/False If a function is continuous it is differentiable.

Accepted Answer

False

Question 9

Finding the derivative of a position function gives you ....

Accepted Answer

velocity

Question 10

The derivative of cot x is

Accepted Answer

- csc2x

Question 11

Find the derivative of y = 2tan2(4x3) .

Accepted Answer

48x2tan(4x3)sec2(4x3)

Question 12

Which rule(s) would you apply to take the derivative of f(x) if f(x)=g(x)h(x)

Accepted Answer

product

Question 13

The derivative of π squared is

Accepted Answer

0

Question 14

The derivative of tan x is

Accepted Answer

sec2x

Question 15

True/False If a function is differentiable it is continuous.

Accepted Answer

True

Question 16

If the acceleration of a particle is positive and the velocity is positive the particle is....

Accepted Answer

moving right speeding up

Questions 16