Calculus I: The Chain Rule

Andy Long

(* pp. 154-- *)

#7, p. 154

f[x_]:=(x^4+3x^2-2)^5
Simplify[f'[x]]

#10, p. 154

f[x_]:=1/(1+Sec[x])^2
f'[x]

#12, p. 154

f[t_]:=(1+Tan[t])^(1/3)
f'[t]

#13, p. 154

f[x_]:=Cos[a^3+x^3]
f'[x]

#27, p. 154

f[r_]:=r/Sqrt[r^2+1]
Together[f'[r]]

#77, p. 155

B[t_]:=4.0+0.34*Sin[2Pi t/5.4]
B'[t]
B'[1]