The chain rule part 2

$$g'\left(x\right)=3\left(h'\left(x\right)\right)^2$$  

$$g'\left(x\right)=3h'\left(x\right)^2$$  

$$g'\left(x\right)=3\left(h\left(x\right)\right)^2\cdot h'\left(x\right)$$  

$$g'\left(x\right)=3h\left(x\right)^2\cdot h'\left(x\right)$$  

$$-3\left(\sec\theta+\tan\theta\right)^{-4}\cdot\sec\theta$$  

$$-3\left(\sec\theta+\tan\theta\right)^{-4}\left(\sec\theta\tan\theta+\sec^2\theta\right)$$  

$$-3\left(\sec\theta+\tan\theta\right)^{-4}$$  

$$-3\left(\sec\theta\tan\theta+\sec^2\theta\right)^{-4}$$  

$$2\tan\left(3x\right)\sec^2\left(x\right)\cdot3$$  

$$2\tan\left(3x\right)\sec^2\left(3x\right)\cdot3$$  

$$2\sec^2\left(3x\right)$$  

$$2\sec^2\left(3x\right)\cdot3$$  

$$\frac{5}{2\sqrt{5x-7}}$$  

$$\frac{1}{2\sqrt{5x-7}}$$  

$$\frac{5}{\sqrt{5x-7}}$$  

$$5\sqrt{5x-7}$$  

$$\frac{-5}{\sqrt{10t+12}}\sin\sqrt{10t+12}$$  

$$\frac{-1}{2\sqrt{10t+12}}\sin\sqrt{10t+12}$$  

$$-\sin\sqrt{10t+12}$$  

$$-\sin\left(\frac{5}{\sqrt{10t+12}}\right)$$