3 years ago

Find the derivative of f(x) = 2x2 + 7x at -3. That is, find f'(-3).

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

Answer:

Hello,

f'(-3) = -5

Step-by-step explanation:

f'(x) = 4 x + 7

f'(-3) = 4 (-3) + 7 = -12 + 7 = -5

f(-3) = 2 (-3)² + 7 (-3) = 18 - 21 = -3

f(-3 + h) = 2 (-3 + h)² + 7 (-3 + h)

= 2 (9 - 6h + h²) - 21 + 7h

= 18 - 12h + 2h² - 21 + 7h

= 2h² - 5h - 3

( f(-3 + h) - f(-3) ) / h = 2h - 5

f'(-3) = lim h→0 ( f(-3 + h) - f(-3) ) / h = lim h→0 (2h - 5) = -5

You might be interested in

Three consecutive odd integers have a sum of 21 . find the integers.

Tpy6a [65]

The three consecutive numbers are 5, 7, and 9.

6 0

3 years ago

A bucket of water is swung in a circle in a vertical plane. The radius of the circle is 0.85 m. What is the minimum speed that w

s344n2d4d5 [400]

Answer:2.88 m/s

Step-by-step explanation:

Given

radius of circle r=0.85 m

At highest Point weight will Provide the centripetal Force

thus

$weight=mg$

$Centripetal\ Force=\frac{mv^2}{r}$

where m is the mass of water in bucket

$mg=\frac{mv^2}{r}$

$v=\sqrt{gr}$

$v=\sqrt{9.8\times 0.85}$

$v=2.88 m/s$

3 0

4 years ago

Please help me with this problem i have been struggling!

adoni [48]

Answer:

First multiply

1 and 3/4 by 8 and then you got your answer

5 0

3 years ago

Read 2 more answers

What is the angle measure to angle a

postnew [5]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Using a trigonometric ratio to find a side length in a right triangle. ROUND TO THE NEAREST TENTH ‼️ Can someone help me please❓

SSSSS [86.1K]

Answer:

x ≈ 34.9

Step-by-step explanation:

Using the sine ratio in the right triangle

sin35° = $\frac{opposite}{hypotenuse}$ = $\frac{20}{x}$

Multiply both sides by x

x × sin35° = 20 ( divide both sides by sin35° )

x= $\frac{20}{sin35}$ ≈ 34.9 ( to the nearest tenth )

7 0

3 years ago