Linear (1st Order) Taylor Approximation
Read this topicProblems 3
- Let bbb and ccc be nonzero real numbers. The linear approximation for f(x)=bx3f(x) = bx^3f(x)=bx3 at x=cx = cx=c takes the form y=α(x−1)y = \alpha(x - 1)y=α(x−1) for some consta…
- Let a,c∈Ra,c \in \mathbb{R}a,c∈R. The linear approximation for f(x)=eaxf(x) = e^{ax}f(x)=eax at x=cx = cx=c is given by which equation?
- What is the linear approximation of f(x)=sin(x)f(x) = \sin(x)f(x)=sin(x) at x=π6x = \frac{\pi}{6}x=6π?