Chain Rule

Determine the best rule used initially to find the first derivative.

Each expression represents $$f\left(x\right)$$

CHAIN RULE

$$y=7\left(8x+3\right)^4$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$d\ OS$$

CHAIN RULE

$$y=7\left(8x+3\right)^4$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$d\ IS$$

CHAIN RULE

$$y=7\left(8x+3\right)^4$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$EXP$$

CHAIN RULE

$$y=4\left(3x^2+7\right)^6$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$d\ OS$$

CHAIN RULE

$$y=4\left(3x^2+7\right)^6$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$d\ IS$$

CHAIN RULE

$$y=4\left(3x^2+7\right)^6$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$EXP$$

CHAIN RULE

$$y=9\left(7x^4+13\right)^{12}$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$d\ OS$$

CHAIN RULE

$$y=9\left(7x^4+13\right)^{12}$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$d\ IS$$

CHAIN RULE

$$y=9\left(7x^4+13\right)^{12}$$

$$DIF\ \ \ \frac{dy}{dx}=d\ OS\cdot d\ IS$$

$$SIM\ \ \ \frac{dy}{dx}=EXP$$

Submit $$EXP$$