Find the derivative.y = e2x2 + x

Find the derivative.y = e2x2 + x

Find the derivative.y = e7x2 + x

Give an appropriate response.Find the limit of f(x) as x approaches 4 from the right.f(x) = 

Solve the problem.Given the revenue and cost functions R = 32x – 0.4×2 and , where x is the daily production, find the rate of change of profit with respect to time when 30 units are produced and the rate of change of production is 4 units per day.

Solve the problem.Given the revenue and cost functions R = 26x – 0.3×2 and , where x is the daily production, find the rate of change of profit with respect to time when 20 units are produced and the rate of change of production is 4 units per day.

Find the x-value of all points where the function has relative extrema. Find the value(s) of any relative extrema.f(x) = x2 + 2x – 3

Find all the critical numbers of the function.f(x) = x3 + x2 – 27x + 2

Solve the problem.Given the revenue and cost functions R = 26x – 0.3×2 and , where x is the daily production, find the rate of change of profit with respect to time when 20 units are produced and the rate of change of production is 4 units per day.

Find the open interval(s) where the function is changing as requested.Increasing; f(x) = x2 – 2x + 1