#1Suppose u and v are functions of x that are differentiable at x=0, and that u(0)=5,

u'(0)=-3,

v(0)=-1, and

v'(0)=2.

Find the values of the following derivatives at x=0.

a) (d/(dx))(uv)

My answer: 13

b) (d/dx)(u/v)

My answer: -7

c) (d/dx)(v/u)

d) (d/dx)(7v-2u)

For c and d, I do not know how to read this problem or approach it. I don't know what d stands for or what to do with the numbers surrounding it. Clueless.

#2y=(x^2+3)/x

Find dy/dx by multiplying the factors first, then differentiating.

My work:

(I know how to do this be differentiating first, then multiplying the factors, but not the other way around...)

((x^2+3)(x) + (x^2+3)(x))/x^2

(x^3+3x+x^3+3x)/x^2

(3x^2+3+3x^2+3)/2x

(6x^2+6)/2x

6(x^2+1)/2x

3(x^2+1)/x

(3x^2+3)/x

3x + 3/x

How do you do these...?