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208 • Chapter 6: Examples from CalculusxxxxxxxxxxxxxxxxxxxxIn the limit as h tends to zero, the slope is> Limit( m, h=0 );e sin(1+h) − e sin(1)limh→0 hThe value of this limit is> value( % );e sin(1) cos(1)This answer is, of course, the value of f ′ (x0). To see this, first definethe function f1 to be the first derivative of f. Since f is a function, use D.The D operator computes derivatives of functions, while diff computesderivatives of expressions. For more information, refer to ?operators,D.> f1 := D(f);f1 := x → cos(x) e sin(x)Now you can see that f1(x0) equals the limit above.> f1(x0);e sin(1) cos(1)In this case, the second derivative exists.> diff( f(x), x, x );