Question

f, g and H are functions such that

H(x) = (f g)(x)

and

f(1) = 36, f '(-2) = 3, f '(1) = 4, g(1) = 9, g '(1) = -1.

Is the slope of the tangent line to the graph of H at x = 1 positive, negative or equal to zero?

Answer 1

please help

Answer 2

im confused

Answer 3

H(x) is equal to f(x)*g(x)

So, it seems as if h(1) is 36 *9

the slope of the tangent line is the derivative. h' seems to be

4*-1, which is -

so, that leads me to believe that the slope is negative.

I THINK this is right. Haven't done this in a long time, but it seems logical.