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3 years ago

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x

Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

Rearrange:

f''''(x) = 720x² + (24/x⁵) - 16sin2x +72

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Answer:

width = 11 feet

Step-by-step explanation:

The perimeter of a rectangle is 2 times length + width.

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4 years ago

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k0ka [10]

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3 years ago

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

vivado [14]

Answer:

The equation to represent the rate of receding water level is L = 34 $(0.5)^{d}$ .

Step-by-step explanation:

Given as :

The initial level of water in river = 34 feet

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Or, The rate of percentage of receding water level = 50 % per day

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Now,

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3 years ago

The quotient, of the product of 25 and an unknown number, and 45 is -65.

Vsevolod [243]

25x/45=-65
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I wasn't sure if you wanted a solution

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3 years ago

Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban

kramer

Answer:

zonas urbanas => 30 % de la poblacion => 700 millones

poblacion total => 100 % de la poblacion => x => 2333.3 millones

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$x-700=2333.3-700=1633.33\\$

8 0

3 years ago