Estimate Values Using Linear Approximation
Read this topicExplanations 3
- What are linear approximations? They are basically ways to approximate certain values based on a function, using tangent lines and derivatives! First, what is the equation of a …
By Brandon Lin, Anonymous, Alex Federspiel
- Now that you have some intuition on what a derivative is, how one finds it, and what it means, we're going to look at one practical use of the concept: using derivatives for app…
By Max Schindler, Moor Xu
- (Videos) Tangent Line Approximation by PatrickJMT Here's a video by patrickJMT where he shows you how to take a linear approximation at a point. Linearization is when we take a …
By Alex Federspiel
Problems 5
- (High School National Science Bowl 2015, Double Elimination Round 8 #22 Bonus) To the nearest integer, what is 2.9852.98^52.985? Remember that, since this is a Science Bowl ques…
- Find the linear approximation of f(x)=x56f(x)=x^{\frac56}f(x)=x65 at a=64a=64a=64.
- Use differentials to estimate tan(4)\tan(4)tan(4).
- Use differentials to estimate 13.74\frac{1}{\sqrt{3.74}}3.741.
- Use linearization to estimate 13.74\frac{1}{\sqrt{3.74}}3.741.