Derivative11

An example explains the impotance of assumption in L’Hospital’s Rule
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 30 Exercises 30.6 Sol...
Application of L’Hospital’s Rule
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 30 Exercises 30.6 Sol...
Limits involving the definition of the natural constant e
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 30 Exercises 30.5 Sol...
Compute limits using L’Hospital’s Rule III
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 30 Exercises 30.3 Sol...
Compute limits using L’Hospital’s Rule II
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 30 Exercises 30.2 Sol...
Compute limits using L’Hospital’s Rule I
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 30 Exercises 30.1 Sol...
Decide whether or not a subset of Z[x] is a subring
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.3 Exercise 7.3.10 Solution:...
Solution to Mathematics for Machine Learning Exercise 7.1
Consider the univariate function $$f(x)=x^3+6x^2-3x-5.$$Find its stationary points and indicate whet...
Solution to Mathematics for Machine Learning Exercise 5.3
Compute the derivative $f’(x)$ of the function $$f(x)=\exp\left(-\frac{1}{2\sigma^2}(x-\mu)^2\right)...
Solution to Mathematics for Machine Learning Exercise 5.2
Compute the derivative $f’(x)$ of the logistic sigmoid $$f(x)=\frac{1}{1+\exp(-x)}.$$ Solution: By C...