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Andrew [12]
3 years ago
6

Jika y = (3²+1)³ tentukan dy/dx

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0
... angle 1
k = x²+1
dk/dx = 2x
dk = 2xdx

y = (x²+1)³ = k³
dy/dk = 3k²
dy/2xdx = 3k²
dy/dx = 2x(3k²) = 6x(x²+1)²


... angel 2
dy/dx = d[(x²+1)³]/dx
= { d[(x²+1)³]/dx }(d(x²+1) / d(x²+1))
= { d[(x²+1)³]/d(x²+1) }(d(x²+1) / dx )
= { 3(x²+1)² }(2x) = 6x(x²+1)²
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If mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", find each measure.
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Step-by-step explanation:

Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.

To get x, we will substitute the given angles into the formula as shown;

(10x – 18) =  (3x + 14)+ (5x - 2)

10x-18 = 3x+5x+14-2

10x-18 = 8x+12

10x-8x = 12+18

2x = 30

x = 30/2

x = 15

Find the measure of each angle

For mCDF:

mCDF = 3x + 14

mCDF = 3(15)+ 14

mCDF = 45+14

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For mFDE:

mFDE = (5x - 2)

mFDE = 5(15) - 2

mFDE = 75-2

mFDE = 73°

For mCDE:

mCDE = (10x – 18)

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mCDE = 150-18

mCDE = 132°

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The percentage discount on the item will be equal to 8%.

<h3>What is the percentage?</h3>

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

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Therefore the percentage discount on the item will be equal to 8%.

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