If f(x) = exg(x), where g(0) = 3 and g'(0) = 4, find f '(0).

If $$f(x)=e^{x} g(x),$$ where $$g(0)=3$$ and $$g(0)=4,$$ find $$f(0)$$

In: Math

Find equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to the line x − 2y = 5.

Find equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to the line x − 2y = 5.

In: Math

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.
(a) Find P ' (2)
(b) Find Q ' (7)

In: Math

if f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x).

if f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x)

(a) Find u'(1)

(b) Find v'(5).

In: Math