Question 1

Prime notation is used to denote only

Accepted Answer

First three derivatives

Answer

First derivative

Answer

First four derivatives

Answer

First two derivatives

Question 2

The correct notation to write the derivative of $g\left(x\right)$ is:

Accepted Answer

$\frac{dg}{dx}$

Answer

$g\left(x\right)$

Answer

$g^{\prime}\left(y\right)$

Answer

$y$

Question 3

When do you use the Chain Rule?

Accepted Answer

when the is a composite function

Answer

when the function is implicit

Answer

when the function has a product

Answer

anytime you want

Question 4

The process of finding the derivative is called.

Accepted Answer

Differentiation

Answer

Derivative

Answer

Integral

Answer

Integration

Question 5

If $f(x) = (uv)$, then $udv + vdu$.

Accepted Answer

Product Rule

Answer

Quotient rule

Answer

Power rule

Answer

Sum rule

Question 6

If $y$ is a differentiable function of $u$, and $u$ is a differentiable function of $x$, then $y$ can be regarded as a function of $x$, and that $\frac{dy}{dx}=\frac{dy}{du}\cdot\frac{du}{dx}$. That is, the derivative of $y$ with respect to $x$ is the derivative of $y$ with respect to $u$ multiplied by the derivative of $u$ with respect to $x$. This is:

Accepted Answer

The Chain rule

Answer

Implicit differentiation

Answer

Antiderivative

Answer

Higher - Order derivatives

Question 7

A function that you can further compute the derivative of the derivative. Suppose that you start with a function f and compute its first derivative f’. You can still compute its second derivative f”, its third derivative f”’, and so on.

Accepted Answer

Higher - Order Derivatives

Answer

Chain Rule

Answer

Antiderivative

Answer

Implicit Differentiation

Question 8

The principal rule to differentiate the function $y=(3x^2-4)^5(x^2-3x)$ is:

Accepted Answer

The product rule

Answer

The chain rule

Answer

The implicit rule

Answer

The power rule

Question 9

The number of times used the chain rule to differentiate the function  $y=(3x^2-4)^5(x^2-3x)\ $ is:

Accepted Answer

1

Answer

0

Answer

2

Answer

3

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