Differentiating a logarithmic function in exercise, find the derivative of the function. see examples 1, 2, 3, and 4.
y = ln x/x^2 + 1

Step-by-step explanation:

To find the derivative of the function you must:

Step 1. Rewrite the logarithm:

Step 2. The derivative of a sum is the sum of derivatives:

Step 3. The derivative of natural logarithm is

Step 4. The function is the composition of two functions and

Step 5.  Apply the chain rule

Return to the old variable:

The derivative of a sum is the sum of derivatives:

Step 6. Apply the power rule

Thus,

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.