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GREYUIT [131]
3 years ago
10

Derivative of 2 tan^3(x)+5 csc^4(x) ?

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:

f'(x) = 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]

Step-by-step explanation:

f' of tan(x) = sec²(x)

f' of csc(x) = -csc(x)cot(x)

General Power Rule: uⁿ = xuⁿ⁻¹ · u'

Step 1: Write equation

2tan³(x) + 5csc⁴(x)

Step 2: Rewrite

2(tan(x))³ + 5(csc(x))⁴

Step 3: Find derivative

d/dx  2(tan(x))³ + 5(csc(x))⁴

  • General Power Rule: 2 · 3(tan(x))² · sec²(x) + 5 · 4(csc(x))³ · -csc(x)cot(x)
  • Multiply: 6(tan(x))²sec²(x) - 20(csc(x))³csc(x)cot(x)
  • Simplify: 6tan²(x)sec²(x) - 20csc⁴(x)cot(x)
  • Factor: 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]

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ankoles [38]

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

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the angles are: 63° and 117°

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SOMEONE HELP ITS DUE TONIGHT
il63 [147K]

Answer:

n=27 degrees

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Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

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8 0
3 years ago
Given P(A)=0.31P(A)=0.31, P(B)=0.5P(B)=0.5 and P(A\text{ or }B)=0.535P(A or B)=0.535, find the value of P(A and B) rounding to t
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Step-by-step explanation:

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3 years ago
The cost of a banquet can be calculated using the function
kotykmax [81]

Answer:

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Step-by-step explanation:

The function is given as:

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