MathCastle
Multivariable CalculusEasyThe Chain Rule & Implicit Differentiation

The Chain Rule & Implicit Differentiation · Easy problem

Let w=x2+y2+z2w = x^2 + y^2 + z^2 with x=cos⁡tx = \cos t, y=sin⁡ty = \sin t, z=tz = t (a point moving along a helix). Use the chain rule to find dwdt\dfrac{dw}{dt} at t=2t = 2.