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3.5 Calculus • 67p := 4 x − 38 3 x3 + 42130 x5 − 100391260 x7 + 24660190720 x9− 61256599979200 x11> plot({f(x), p}, x=-1..1, -2..2);21–1–0.8–0.6–0.4–0.200.2 0.4 0.6 0.8x1–1–2Maple can symbolically compute derivatives and integrals. For example,differentiate an expression, integrate its result, and compare it withthe original expression.> f := x -> x*sin(a*x) + b*x^2;f := x → x sin(a x) + b x 2> Diff(f(x),x);∂∂x (x sin(a x) + b x2 )> df := value(%);df := sin(a x) + x cos(a x) a + 2 b x> Int(df, x);∫sin(a x) + x cos(a x) a + 2 b x dx> value(%);

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