Business Calculus
It can be concluded that the derivative of f(x)=∣2x∣f\(\left\)(x\(\right\))=\(\left\)|2x\(\right\)|f(x)=∣2x∣ is a vertical compression of y=∣2x∣xy=\(\frac{\left|2x\right|}{x}\) by a factor of 22.
It can be concluded that the derivative of f(x)=∣2x∣f\(\left\)(x\(\right\))=\(\left\)|2x\(\right\)|f(x)=∣2x∣ is a vertical stretch of y=∣2x∣xy=\(\frac{\left|2x\right|}{x}\)y=x∣2x∣ by a factor of 222.
It can be concluded that the derivative of y=∣2x∣xy=\(\frac{\left|2x\right|}{x}\) is the same as the derivative of f(x)=∣2x∣f\(\left\)(x\(\right\))=\(\left\)|2x\(\right\)|.
It can be concluded that the derivative of f(x)=∣2x∣f\(\left\)(x\(\right\))=\(\left\)|2x\(\right\)|f(x)=∣2x∣ is f′(x)=∣2x∣xf^{\(\prime\)}\(\left\)(x\(\right\))=\(\frac{\left|2x\right|}{x}\)f′(x)=x∣2x∣.