#### To determine

**To find:**

f' in terms of g'

#### Answer

**f'x=2gxg'(x)**

#### Explanation

Differentiate by using differentiation rules

**1) Formula:**

(i) Power rule:

ddxxn=n.xn-1

(ii) Chain rule:

ddx(fgx=f'gx*g'(x)

**2) Given:**

**fx=gx2**

**3) Calculation:**

by using power rule and chain rule

f'(x)=ddxgx2

ddxgx2=2gxg'(x)

**Conclusion:**

f'x=2gxg'(x)