Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

Dy/Dx=x ( 2 ln ( x ) − 1 )/ ln ^2 ( x)

Step-by-step explanation:

We have this function and let's derive it in terms of x.

y =x^2/In x

Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2 x *ln ( x ) − x *ln ^2 ( x ) =x ( 2 ln ( x ) − 1 )/ ln ^2 ( x)

You might be interested in

The net price equivalent rate of 3/7/13 is:

mrs_skeptik [129]

I think it’s 0.4285 or 42/85

4 0

3 years ago

Question 1

Flauer [41]

Answer:

Correct choice: b. $1221.00

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

$A=P\left(1+{\frac {r}{n}}\right)^{nt}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:

$A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}$