A ball is dropped vertically downward from the top of a 26 meter building.

(a)  

Position function for an object moving in a linear path

(a)  

An object is thrown straight down from the top of a 220 ft building with a speed of 26 ft/sec.

(a)  

DERIVATIVE OF A FUNCTION
 $g\left(t\right)=\frac{1}{3}\cdot\pi^{\ 3}$  
 $A\ '\left(B\right)=C$  
Submit  $A,B,C$  
(If necessary, submit pi for $\pi$ )

(a)  

DERIVATIVE OF A FUNCTION
 $w=-\ \frac{12}{k^{\ 6}}$  
 $\frac{dA}{dB}=\frac{D}{k^{\ E}}$  
Submit  $A,B,D,E$  

(a)  

DERIVATIVE OF A FUNCTION
 $v=36\cdot\ ^9\sqrt{a^{\ 4}}$  
 $\frac{dA}{dB}=\frac{D}{^E\sqrt{a^{\ F}}}$  
Submit  $A,B,D,E,F$  

(a)  

DERIVATIVE OF A FUNCTION
 $P\left(x\right)=\left(3\cdot x^{\ 4}+7\right)^5$  
 $A\ '\left(B\right)=D\cdot x^{\ E}\cdot\left(3\cdot x^{\ 4}+7\right)^{\ F}$  
Submit  $A,B,D,E,F$  

(a)  

 $s=h\left(u\right)$  

5 EQUIVALENT DERIVATIVE NOTATIONS

(a)  

DERIVATIVE OF A TRIG FUNCTION
 $y=14\cdot\sin\left(x^{\ 11}\right)$  
 $\frac{dy}{dx}=A\cdot x^{\ B}\cdot trig1\left(x^{\ 11}\right)$  
Submit  $A,B,trig1$  

(a)  

DERIVATIVE OF A TRIG FUNCTION
 $y=35\cdot\cot\left(35\cdot x\right)$  
 $\frac{dy}{dx}=A\cdot trig2^{\ B}\left(35\cdot x\right)$  
Submit  $A,trig2,B$  

(a)  

DERIVATIVE OF A TRIG FUNCTION
 $y=6\cdot\left[\sec\left(4\cdot x\right)\right]^{\ 8}$  
 $\frac{dy}{dx}=A\cdot trig3^{\ B}\left(4\cdot x\right)\cdot trig4\left(4\cdot x\right)$  
Submit  $A,trig3,B,trig4$  

(a)  

Find in general from the equation of the local tangent drawn to the graph of  $P\left(x\right)$  at $x=c$ 
 $P\left(x\right)=8\cdot x^{\ 2}-26\cdot x+13\ @\ x=3$  
GF:  $A\cdot x+B\cdot y+C=D$  
Submit  $A,B,C,D$  

(a)