Differentials in Linear Approximation
Read this topicExplanations 2
- In the previous section, we learned about linear approximations for a function f(x)f(x)f(x) around x=ax=ax=a: f(x)≈f(a)+f′(a)(x−a).f(x)\approx f(a)+f'(a)(x-a).f(x)≈f(a)+f′(a)(x−…
By Steven Kwon, Po-Shen Loh, Expii Team, Moor Xu, Alex Federspiel
- (Video) Using Differentials by PatrickJMT Here's a video by patrickJMT showing you how to do a linear approximation using differentials. The differential formula dydydy is: if, …
By Alex Federspiel
Problems 8
- Use differentials to estimate (2.016)5(2.016)^5(2.016)5.
- Use differentials to estimate 170\sqrt{170}170.
- What is the differential equation for ln(x)\ln(x)ln(x)?
- Use differentials to estimate 9239^{\frac23}932.
- Harry, on his way to Hogwarts, arrived at platform 9349^{\frac34}943. While waiting for the train, he became curious as to what the value of 9349^{\frac34}943 actually was. Sa…
- Use differentials to estimate sin(3)\sin(3)sin(3).
- Use differentials to estimate e0.07e^{0.07}e0.07.
- What is the differential equation for 4−x\sqrt{4-x}4−x?