Question

derivative of y=7x+4/4x-7​

Answer 1

Answer:

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Calculus Examples

Popular Problems Calculus Find the Derivative f(x)=(7x-4)/(x-4)

f

(

x

)

=

7

x

−

4

x

−

4

f(x)=7x-4x-4

Differentiate using the Quotient Rule which states that

d

d

x

[

f

(

x

)

g

(

x

)

]

ddx[f(x)g(x)] is

g

(

x

)

d

d

x

[

f

(

x

)

]

−

f

(

x

)

d

d

x

[

g

(

x

)

]

g

(

x

)

2

g(x)ddx[f(x)]-f(x)ddx[g(x)]g(x)2 where

f

(

x

)

=

7

x

−

4

f(x)=7x-4 and

g

(

x

)

=

x

−

4

g(x)=x-4.

(

x

−

4

)

d

d

x

[

7

x

−

4

]

−

(

7

x

−

4

)

d

d

x

[

x

−

4

]

(

x

−

4)2

(x-4)ddx[7x-4]-(7x-4)ddx[x-4](x-4)2

7(x−4)−(7x−4)

(x−4)2

7(x-4)-(7x-4)(x-4)2−24

(x−4)2-24(x-4)2