10.2 Tangents and AreasIf we have parametric equations x=f(t), y=g(t)and we substitute y=F(x),then we have g(t)=F(f(t)).Now, if g,F, and fare differentiable functions, the Chain Rule can be used to find g’(t). '( )'( )'(( ))'( )'( )'( )'( )'( )Slope of the tangent to () at (,()) is '( )0gtgtFf tftFxftFxftyF xx F xFxdydydxdtdxdxdtdt=⋅=⋅⇒===≠Example: Find an equation of the tangent line at t=1 for the curve . 321,3xtytt=−=−+1tExample: Find an equation of the tangent to the curve at (3,4) (a) without eliminating the
This is the end of the preview.
access the rest of the document.