Question #c7f2c

1 Answer

A(x)=8(x-3)A(x)=8(x3)

Explanation:

The area function A(x)="length" xx "width"A(x)=length×width

Take note that length is represented by f(x)=8f(x)=8
Take note that width is represented by x-3" "x3 the interval [3, x][3,x]

A(x)=f(x)*(x-3)A(x)=f(x)(x3)

A(x)=8*(x-3)A(x)=8(x3)

The derivative of A(x)A(x)

A(x)=8*(x-3)A(x)=8(x3)

A' (x)=d/dx(8x)-d/dx(24)=8-0=8

There is a given constant function f(x)=8

It is confirmed that
A' (x)=f(x)

God bless....I hope the explanation is useful.