Find the derivative of the following functions by first expanding or simplifying the expression. Simplify your answers. 
r(t) = (e^2t + 3e^t + 2) / (e^t + 2)

Finding derivatives from a table Find the values of the following derivatives using the table. <IMAGE>

(g^-1)'(7)

Use the given graphs of f and g to find each derivative. <IMAGE>

d/dx (5f(x)+3g(x)) |x=1

Derivatives of even and odd functions Recall that f is even if f(−x) = f(x), for all x in the domain of f, and f is odd if f(−x) = −f(x) for all x in the domain of f.

b. If f is a differentiable, odd function on its domain, determine whether f' is even, odd, or neither.

Find the derivative of the following functions by first expanding or simplifying the expression. Simplify your answers. 

y = (x² - 2ax + a²) / (x - a); a is a constant.

{Use of Tech} Equations of tangent lines

Find an equation of the line tangent to the given curve at a.

y = −3x² + 2; a=1

{Use of Tech} Equations of tangent lines

Find an equation of the line tangent to the given curve at a.

y = e^x; a = ln 3

Let f(x) = x² - 6x + 5.

Find the values of x for which the slope of the curve y = f(x) is 0.

Given that f'(3) = 6 and g'(3) = -2 find (f+g)'(3).