3 years ago

Let the function f(x) have the property that f′(x)=(x+1)/(x−3). If g(x)=f(x^2) find g′(x)

1 answer:

3 0

Solve this using chain rule:
Start with g(x) = f(x^2), Differentiate both sides:
$g'(x) = f'(x^2) * (x^2)' \\ \\ g'(x) = 2x f'(x^2)$

Now sub in "x^2" into given f'(x) function:
$g'(x) = 2x*\frac{ x^2 +1}{x^2 -3}$

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A personnel director at a large company studied the eating habits of employees by watching the movements of a selected group of

Gnesinka [82]

Answer:

c) an observational study
c) convenience sample
a) blocking for gender

Step-by-step explanation:

It is an abservational study because she is only watching and not asking the all or a group of employees to tell her their response to what she wants to know.

It is a convenience sample because subjects are selected because of their closeness to the researcher.

8 0

3 years ago

Factorise- 6y-15y^2<br> HELP

Citrus2011 [14]

We will take the common terms in the expressions-

Here in the expression, 3y is a common term.
So,

$6y - 15y^{2}$

$3y(2 - 5y)$

So, the answer is $3y(2 -5y)$