Exercises

Use Maple commands to compute the first and second derivatives of the following expressions. Type each Maple command instead of using the context senstive menus.

1. $\frac{x^2-e^{5x^2}x-23}{x^3-x^2+8x-10}$

               eq1 := (x^2 → - exp(5*x^2) * x - 23)/(x^3 → -x^2 → + 8*x - 10)
               diff(eq1, x)
               diff(eq1, x$2)      
             

2. $e^x{x}^6-\frac{2}{x}+4x^2-\ln (x)$

               eq2:=exp(x)*x^6 → -(2/x) + 4x^2 → - ln(x)
               diff(eq2, x)
               diff(eq2, x$2)
             

3. $\frac{x}{\sin (x)\ln (x)}$

               eq3 := x / sin(x) * ln(x)
               diff(eq3, x)
               diff(eq3, x$2)
             

Try the Context Sensitive (right-click) Menu

1. $\frac{x^2-e^{5x^2}x-23}{x^3-x^2+8x-10}$

               eq1:=(x^2 → -exp(5x^2)*x - 23)/(x^3 → -x^2 → + 8x -10)
               (Right-click eq1 -> Differentiate -> x)
               (Right-click prev result -> Differentiate -> x)