(Solved):   1) \( f(x)=\cos (\cos (x)) \) 2) \( f(x)=\frac{1}{x-2} \) and \( g(x)=\sqrt{x-1} \) \( \op ...

 

1) \( f(x)=\cos (\cos (x)) \) 2) \( f(x)=\frac{1}{x-2} \) and \( g(x)=\sqrt{x-1} \) \( \operatorname{Ls}(f \cdot g)(x)=? \) \( L_{y}(g \cdot g)(x)=? \) 3) \( \frac{d y}{d x} \) whore \( 21 \sin (y)+20 \cos (5 x)=21 x y \) 4) If \( \sin (\theta)=\frac{7}{25} \) and \( \theta \) is between 0 and \( \frac{\pi}{2} \), whut is value of \( \tan (\theta) \) ? 5) \( \lim _{x \rightarrow 7} \frac{\sqrt{x-1}-\sqrt{6}}{x^{2}-49} \) 6) \( y=f(x+39) \rightarrow f(x) \) is sifted (up, left, ighl, doum ) 7) \( f(x)=\frac{5 x^{2}+8 x+6}{4 x^{2}+7 x+8} \rightarrow f(x)^{\prime}=? \) 8) \( f(x)=4 x^{2}-5 \) on \( [1, b] \) what is average rate of \( b= \) ? change?