Let f(x) = e ^3x/5x − 2. Find f'(0).

Step-by-step explanation:

Our friend asking what the actual function is has a point. I completed this under the assumption that what we have is:

and used the quotient rule to find the derivative, as follows:

and simplifying a bit:

and a bit more to:

and combining like terms:

and factor out the GFC in the numerator to get:

 That's the derivative simplified. If we want f'(0), we sub in 0's for the x's in there and get the value of the derivative at x = 0:

which simplifies to

which translates to

The slope of the function is 11/4 at the point (0, -1/2)

(3x-8) or (3x+8)

step-by-step explanation: