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Valentin [98]
2 years ago
8

Find the derivative for the problem below and show ur work

Mathematics
1 answer:
aliya0001 [1]2 years ago
7 0

The derivative of the function is  \frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}.

<h3>What is Derivative?</h3>

The derivative is the instantaneous rate of change of a function with respect to one of its variables.

Given function:

y= (3x²+5x+1)^{3/2}

Differentiating and applying chain rule

= 3/2 * (3x²+5x+1)^{1/2} d/dx (3x²+5x+1)

= 3/2 * (3x²+5x+1)^{1/2}  (6x+5)

= \frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}

Hence, the value of derivative is  \frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}

Learn more about derivative here:

brainly.com/question/124529

#SPJ1

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Evaluate the function<br> Find f(-10) if f(x) = 8x – 3
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Read 2 more answers
Y
mina [271]

Answer:

y inversely proportional to 1/x

y=4, x=16

4=k/16

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find y when x=8

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3 0
2 years ago
Can you help me pleeeeaaassee??
melamori03 [73]

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD

Let's solve the given question:

Given that ΔTSR ≈ ΔTCD

So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.

So, ΔTSR ≈ ΔTCD

=> RT / TD = ST / TC

=> 14 / 7 = 16 / (x - 1)

In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.

The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

The third error is the value of x.

We can find the correct value of x from the given equation:

14 / 7 = 16 / (x - 1)

=> 2 = 16 / (x - 1)

Multiplying both sides by (x - 1):

(x - 1) × 2 = 16 / (x - 1) × (x - 1)

=> 2(x - 1) = 16

Multiplying both sides by 1 / 2:

2(x - 1) × 1 / 2= 16 × 1 / 2

=> x - 1 = 8

Adding 1 on both sides:

x - 1 + 1 = 8 + 1

x = 9

Therefore x = 9.

Hence the errors are:

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC

Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Know more about "similar triangles" here: brainly.com/question/14366937

#SPJ9

8 0
2 years ago
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