with local linearity practice calculus be the particular solution to...
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4.6 Approximating with Local Linearity Calculus
For each differential equation, let 𝒚 𝒇 𝒙 be the particular solution to the differential equation with the given initial condition.
1. 5 𝑦 sin 𝑥 and 𝑓 2.
a. Write an equation for the line tangent to the
graph of 𝑓 at the point , 2 .
b. Use the tangent line to approximate 𝑓 1.5 .
2. and 𝑓 1 3.
a. Write an equation for the line tangent to the graph of 𝑓 at the point 1,3 .
b. Use the tangent line to approximate 𝑓 1.1 .
Practice
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