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- Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.Find the differential d5y of the function y=lnx2.What is the approximate value of the derivative of the function f(x) = 2x^3 - 5x^2 + 3x at x = 1, using a forward difference approximation with a step size of h = 0.1?
- Compute dy/dx using the limit definition of the first derivative for f(x) = 3x2Approximate the derivative of the function f(x) = 2x^3 - 5x^2 + 3x - 1 at x = 2 using the forward difference formula with a step size of h = 0.1.Compute the indicated derivative using the chain rule. x = 6 + 3t, y = −8t; dy dx