Differentiating exponential functions in exercise, find the derivative of the function. see example 2 and 3.
g(x) = e^ (x)1/2

Answer

g(x) = e^ (x)^1/2

Derivate with respect to x

g'(x) = (1/2 -1)*x^(1/2 -1) * e^ (x)^1/2

g'(x) = (-1/2)*x^(-1/2) * e^ (x)^1/2

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: