Free Printable Math 3 day 8

1.

True or False: $\left(f\cdot g\right)'\left(x\right)\ =\ f'\left(x\right)\cdot g'\left(x\right)$ ?

a)

True

b)

False

2.

If $f'\left(x\right)\ >\ 0$ everywhere, this means that:

a)

$f\left(x\right)$ is always positive

b)

$f\left(x\right)$ is always increasing

c)

$f\left(x\right)$ is increasing faster and faster over its domain

d)

$f\left(x\right)$ is exponential

3.

What is the derivative of $\sqrt{2}$ ?

a)

$\sqrt{2}$

b)

$\frac{1}{2\sqrt{2}}$

c)

$0$

d)

$\frac{1}{\sqrt{2}}$

4.

What is the derivative of $\left(\frac{3}{x}\right)$ ?

a)

$\frac{3}{x^2}$

b)

$\frac{-3}{x^2}$

c)

$3x$

d)

$-3$

5.

Let $f\left(x\right)\ =\ \frac{1}{x}$ . Then, $f'\left(x\right)\ >\ 0$ is positive when...

a)

... $x$ is positive

b)

... $\frac{1}{x}$ is positive

c)

... $\frac{1}{x}$ is negative

d)

... $x$ is negative

e)

None of the other options.

6.

True or False: $\left(f\left(g\left(x\right)\right)\right)'\ =\ f'\left(g\left(x\right)\right)$ .

a)

True

b)

False

7.

What is the derivative of $e^{\ln x}$ , when $x>0$ ?

a)

$e^x\ln\left(x\right)$

b)

$1$

c)

There is no way we can know with the tools we have.

d)

$e^{\ln\left(x\right)}$

8.

True or False: To find the derivative of a polynomial, one can find the derivative of each term and add them.

a)

True

b)

False

9.

What is a derivative?

a)

The slope of a hiking trail, when the function is the height according to distance.

b)

The distance traveled when the function is the speed of a car.

c)

The rate of change in the profit of a company, assuming the function is the profit.

d)

A formula one can compute, but it does not have a specific meaning.

10.

What is a limit?

a)

The value it approaches without ever reaching it.

b)

The value it approaches, and reaches if the functions is continuous.

c)

The value that the function takes.

Math 3 day 8

Total questions: 10

Worksheet time: 5mins

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