Calculus+-+Mathcasts

Calculus >> Calculus - Mathcasts

[|Calculus (All mathcasts - About 80)] LFS, RGM, TRF


 * Sample problems:**

1. Chapter 1 Problem (An excellent movie to start with!) - LFS >> >> >>
 * //The Pendulum Problem// (Very complete solution):

2. **Derivatives** > Prove that if y =uvw, where u,v,w are differentiable functions of x, then y' u'vw + uv'w + uvw' > Prove by Mathematical Induction that for any positive integer //n//, if //f(x)=x^n//, then //f'(x)=nx^n-1// > > >
 * 4-2: Derivative of the Product of Two Functions ([|All movies])
 * 4-2: Like #5 (p. 135): [|Find //g'(t)// for the function //g(t)=t^10(9t-4)^8]
 * 4-2: 20 (p. 135): [|Find //u'(x)// for the function //u(x)=3x^5(x^2-4)cos(10x)]
 * 4-2: 21 (p. 135): //[|Product of Three Functions Problem]//
 * 4-2: 27 (p. 135): //[|Bouncing Spring Problem]//
 * 4-2: 29 (p. 135): //[|Derivative of odd and Even Functions Problem by Graphing]//
 * 4-2: 31 (p. 135): //[|Derivative of a Power Induction Problem]//
 * 4-2: 32 (p. 135): //[|Derivative Two Ways Problem]//
 * 4-6: Differentiability and Continuity ([|All mathcasts])