# Homework # 3
# OPMT 5701
# Fall 2006
# 
# Problem 1:
> y:=4*x^3-6*x^2+7*x-8;
> y_prime:=diff(y,x);
# Problem 2:
> y:=7*x^4-5*x^3+4*x-6;
> y_prime:=diff(y,x);
# 
# Problem 3:
> y:=7/3*(9*x+3);
> y_prime:=diff(y,x);
# 
# Problem 4:
> y:=1/4-x/2;
> y_prime:=diff(y,x);
# 
# Problem 5:
> y:=3*x/5+4/3;
> y_prime:=diff(y,x);
# 
# Problem 6:
> y:=(7-2*x)/5;
> y_prime:=diff(y,x);
# 
# Problem 7:
> y:=x^(-2)-sqrt(x)+x^(-4/7);
> y_prime:=diff(y,x);
> simplify(%);
# 
# Problem 8:
> y:=1/2-1/(2*x);
> y_prime:=diff(y,x);
# 
# Problem 9:
> y:=2/x^4+x^4/2;
> y_prime:=diff(y,x);
# 
# Problem 10:
> y:=(x^4+4)/x^2;
> y_prime:=diff(y,x);
> simplify(%);
# 
# Problem 11:
> y:=(x^2+2*x+3)/sqrt(x);
> y_prime:=diff(y,x);
> simplify(%);
# 
# Problem 12:
> v:=t^(5/7)*(t^(2/7)+3*t);
> v_prime:=diff(v,t);
> simplify(%);
# 
# Problem 13:
> f:=(u^5+u^11)/u^3;
> f_prime:=diff(f,u);
> simplify(%);
# 
# Problem 14:
> y:=(x^3-10*x+2)*(x^2+7*x+1);
> y_prime:=diff(y,x);
> simplify(%);
> 
> 
# 
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