Calculus UNIT302_303 HomeWork

2797 days ago by MATH4R2013

#10) p124: f(x)=4*x^3-6*x^2-1 find the horizontal tangents! f(x)=4*x^3-6*x^2-1 g(x)=diff(f(x),x) show(f(x)) show(g(x)) show(solve(g(x)==0,x)) show(f(0)) show(f(1)) plot([f(x),-1,-3],-1,2) 
       





#20) p124: f(x)=(1-x)*(1+x^2)^(-1) find f'(x)! HINT:use the Quotient Rule f(x)=(1-x)/(1+x^2) g(x)=diff(f(x),x) show(f(x)) show(g(x).factor()) 
       

#10) p146: f(x)=cos(x)/(1+sin(x)) find f'(x)! f(x)=cos(x)/(1+sin(x)) g(x)=diff(f(x),x) show(f(x)) show(g(x).simplify_trig()) 
       

#20) p146 s(t)=2+2*sin(t) find the jerk! s(t)=2+2*sin(t) f(t)=diff(s(t),t) g(t)=diff(f(t),t) h(t)=diff(g(t),t) show(s(t)) show(f(t)) show(g(t)) show(h(t))