Question

Hi I have tried calling but I can’t do anything

Answer 1

For the given functions, we will find the first derivative of each function

Note:

a, and b are constants

y, f, and g are functions

2) y = (a+bf)/g

We will use the quotient rule to find y' as follows:

`y^(\prime)=(g*b(df)/(dx)-(a+bf)(dg)/(dx))/(g^2)`

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3) y = (x+f)/g

We will use the quotient rule to find y' as follows:

`y^(\prime)=(g(1+(df)/(dx))-(x+f)(dg)/(dx))/(g^2)`

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4) y = (x+f)³

We will use the exponent rule to find the derivative as follows:

`y^(\prime)=3(x+f)^2(1+(df)/(dx))`

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5) y = ax² + bg² + f

so, y' will be as follows:

`y^(\prime)=2ax+2bg(dg)/(dx)+(df)/(dx)`

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