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liq [111]
3 years ago
6

Derivative of sin(x+y)

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

\frac{dy}{dx}  =  \frac{ \cos(x + y)}{[1 - \cos(x + y)] }

Step-by-step explanation:

Let y = sin(x+y)

Differentiating with respect to x on both sides.

\frac{dy}{dx}  =  \frac{d}{dx}  \sin(x + y) \\  \\  \frac{dy}{dx}  =  \cos(x + y)\frac{d}{dx}  (x + y) \\  \\ \frac{dy}{dx}  =  \cos(x + y)(1 + \frac{dy}{dx}) \\  \\  \frac{dy}{dx}  =  \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\  \\  \frac{dy}{dx}   - \cos(x + y) \frac{dy}{dx} =  \cos(x + y) \\  \\  \frac{dy}{dx}  [1 - \cos(x + y)] =  \cos(x + y) \\  \\ \purple {\bold {\frac{dy}{dx}  =  \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}}

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lukranit [14]

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

6 0
2 years ago
Use PMT equals StartFraction Upper P (StartFraction r Over n EndFraction )Over [1 minus (1 plus StartFraction r Over n EndFracti
Zigmanuir [339]

Answer:

I think it’s best to ask your teacher

Step-by-step explanation:

Sorry I needed the points

8 0
3 years ago
These are the Other Ones
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3 years ago
In the simplest radical form, what is the perimeter of a square with a diagonal of 12 cm?
Gnesinka [82]
Diagonal of a square is √2a
so,
√2 a = 12
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so,
peri = 4*12/√2
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ziro4ka [17]
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3 years ago
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