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3 years ago

What is the derivative of sqrt7 times x +sqrt2x

1 answer:

4 0

I guess you mean the derivative of:

√7x + √2x, if so then:

Remember that the derivative of √u = 1/(2√u) . u'

if 7x = u, then u' = 7 , hence the derivative of √7x is 7/(2√7x)
Use same logic for √2x and you will find:

y' = 7/(2√7x) + x/√2x

You might be interested in

Which of the following values is the solution to the equation w/-7 = -21 ?

zheka24 [161]

Answer:

dont know

Step-by-step explanation:

4 0

2 years ago

The ratio of the surface area of two cylinders is 1:9. The smaller cylinder has a radius of 3 inches and a height of 4 inches. W

lana66690 [7]

You need to multiply them 3-4 and get 12 so that's part of your answer

then you make it 12:9.

3 0

3 years ago

If f(x)=logx, explain the transformation that occurs when f(0.25(x-5))+3

nevsk [136]

Answer:

First, let's explain the transformations in a general way:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Horizontal dilation/contraction.

For a function f(x), an horizontal contraction dilation is written as:

g(x) = f(k*x)

where:

k is called the "scale factor"

If k < 1, then the graph "dilates" horizontally.

if k > 1, then the graph "contracts" horizontally.

Now, in this problem we have:

f(x) = log(x)

And the transformed function is:

g(x) = f(0.25*(x - 5)) + 3

Then, the transformations that take place here are, in order:

Vertical shift of 3 units up:

g(x) = f(x) + 3.

Horizontal shift of 5 units to the right:

g(x) = f(x - 5) + 3

Horizontal dilation of scale factor 0.25

g(x) = f( 0.25*(x - 5)) + 3

replacing f(x) by log(x) we have

g(x) = log(0.25*(x - 5)) + 3.

6 0

2 years ago

A truck rental is $30 plus $.30 /mi. Find out how many miles Ken traveled if his bill was $55.20 .

tangare [24]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider the information given:

rental price: $30 + $0.30/mile
total bill for Ken: $55.20

Let's setup an equation for the cost

set 'x' as number of miles traveled

$\hookrightarrow Cost = 30 + 0.3x$

set that equal to the total cost or bill and solve

$30 + 0.3x = 55.2\\0.3x = 25.2\\x=84$

Ken must have traveled 84 miles

Answer: 84 miles

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

Read 2 more answers

The math department is putting together an order for new calculators. The

BabaBlast [244]

Required data table is attached below :

Answer:

D. The fewest students prefer black Model A1 calculators.

Step-by-step explanation:

From the data Given :

Larger proportion of students prefer White calculators(0.65) to black calculators (0.35)

Also, Fewer proportion of students like black model C3 (0.20) than white model A1 (0.40)

Also, the proportion of students who like model C3 calculators(0.30) are fewer than those who prefer the model A1 (0.45)

Therefore, the true inference which can be derived from the data is, the least preferred calculator is the Black model A1 calculator with a proportion of 0.05

3 0

3 years ago