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olga nikolaevna [1]
1 year ago
13

What is the rate of change for f(x) = 4 sin

Mathematics
1 answer:
AlekseyPX1 year ago
4 0
Hope this will help u

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I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }

5 0
3 years ago
26. Multiple Representations The tableDad's AgeCindy's Ageshows the ages of Cindy and her dad.2 years old28 years olda. Write an
madam [21]
A. is D=C+26 

B is no 

C. is <span>because in each age difference, it is a 26 year age difference. SO you would add 26 to 18, which would give you 44 year old. </span>

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What is x = 0.8x + 72
babymother [125]

Answer:

45

Step-by-step explanation:

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kozerog [31]

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Step-by-step explanation:

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How many real solutions are there to the equation x2 - 7x + 12 = 0?<br> о<br> оооо<br> но со
bixtya [17]
I was butt x2-7+12=0 what
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