Quiz about Derivatives Definition And Basic Rules

Question 1

Find $$g^{\prime}(1)$$, if $$g(x)=x^{-10}$$

Accepted Answer

Covalent bond

Answer

$$-10$$

Answer

$$10$$

Answer

$$9$$

Answer

$$-9$$

Question 2

Function $$h$$ is graphed. The dashed lines represent asymptotes. Check if $${h}$$ is differentiable at $${x}={0},-{4} {\}-{5}$$
![](http://admin.getprephub.com/media/editor/d29_20220927192458563410.png)

Accepted Answer

Covalent bond

Answer

$$No$$

Answer

$$Yes$$

Answer

$$Yes$$

Answer

$$Yes$$

Question 3

Function $${f}$$ is graphed. The graph has a vertical tangent at $${x}=3$$. Check if $${f}$$ is differentiable at $${x}=-3$$ and$$3$$.

![](http://admin.getprephub.com/media/editor/d30_20220927192542979583.png)

Accepted Answer

Covalent bond

Answer

$$No$$

Answer

$$Yes$$

Question 4

Function $${f}$$ is graphed. The dashed lines represent asymptotes. Check if $${f}$$ is differentiable at $${x}={0}$$.

![](http://admin.getprephub.com/media/editor/d31_20220927192609120504.png)

Accepted Answer

Covalent bond

Answer

$$No$$

Answer

$$Yes$$

Question 5

Function $$g$$ is graphed. The graph has a vertical tangent at $$x=2$$. Check if $$g$$ is differentiable at $$x=-4, 8$$.

![](http://admin.getprephub.com/media/editor/d32_20220927192639611637.png)

Accepted Answer

Covalent bond

Answer

$$No$$

Answer

$$Yes$$

Derivatives Definition And Basic Rules Calculus Maths Problems and Solutions

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