4.2. The Initial Value Problem http://www.ck12.org
- f′(x) = 3 x^2 +e^2 xandf( 0 ) = 3.
- f′(x) =^3
√
x^2 −x^12 andf( 1 ) = 3- f′(x) = (2 cosx−sinx),−π 2 ≤x≤π 2 ,andf(π 3 )=
√
3 +^12
- Suppose the graph offincludes the point(− 2 , 4 )and that the slope of the tangent line tofatxis− 2 x+ 4.
Findf( 5 ).
In problems #9–10, find the functionfthat satisfies the given conditions.
- f′′(x) =sinx−e−^2 xwithf′( 0 ) =^52 andf( 0 ) = 0
- f′′(x) =√^1 xwithf′( 4 ) =7 andf( 4 ) = 25