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2 years ago

10

How do you find derivative of a function with two variables.

1 answer:

Leno4ka [110]2 years ago

8 0

A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.

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Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

$A = \frac{f(b)-f(a)}{b-a}$

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that $a = -3, b = 3$

$f(x) = x^2 + 3x + 6$

So

$f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24$

$f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6$

Average rate of change

$A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5$

The average rate of change of the function over the interval is 5.

8 0

3 years ago

Can u help me on this?

a_sh-v [17]

Answer:

B

Step-by-step explanation:

70-20=50

i don't sure correct or not

7 0

3 years ago

What is 14x14x14 equal

N76 [4]

2744 is the answer. can be written as 14^3 just in case you need to know that.

8 0

3 years ago

HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br> ANYBODY

zvonat [6]

It’s the second one. The symbol means “less than or equal to,” so it would be a closed circle with the arrow pointing to everything less than -1

5 0

3 years ago

Read 2 more answers

Can u help me with this and I don't wanna rush u but can we hurry because my homework has a timer and it will close I've been wo

deff fn [24]

Answer:

Step-by-step explanation:

C , looks like the right answer, and probably this is too late to help... :/ sorry

3 0

3 years ago