Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=ā5, u ā²
(0)=4,v(0)=2, and v ā²
(0)=ā1. Find the values of the following derivatives at x=0. a. dx
d
ā
(uv) b. dx
d
ā
( v
u
ā
) c. dx
d
ā
( u
v
ā
) d. dx
d
ā
(ā9vā7u) The curve y=ax 2
+bx+c passes through the point (1,6) and is tangent to the line y=5x at the origin. Find a,b, and c : a=b=b=