# Calculus 3 : Derivatives

## Example Questions

### Example Question #260 : Calculus 3

What is the derivative of ?

None of the Above

Explanation:

Take the derivative of the first term:

Rewrite the other term with a(n) negative exponent:

Now, take the derivative of the re-written term:

Put both parts together:

### Example Question #71 : Calculus Review

Find the derivative  given the function

Explanation:

We can find the derivative  given the function  by rewriting  as

and using the properties of logarithms ( in particular) to get

so now we can use the chain rule

with  and  to get

### Example Question #72 : Calculus Review

Find the derivative  of the function .

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #73 : Calculus Review

Find the derivative  of the function

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #74 : Calculus Review

Find the derivative  of the function

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #75 : Calculus Review

Find the derivative  of the function

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #76 : Calculus Review

Find the derivative  of the function

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #77 : Calculus Review

Find the derivative  of the function

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #78 : Calculus Review

Find the derivative  of the function

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

### Example Question #79 : Calculus Review

Find the derivative  of the function