Ads
related to: difference quotient problems worksheets printable gradeeducation.com has been visited by 100K+ users in the past month
It’s an amazing resource for teachers & homeschoolers - Teaching Mama
- Printable Workbooks
Download & print 300+ workbooks
written & reviewed by teachers.
- Digital Games
Turn study time into an adventure
with fun challenges & characters.
- Education.com Blog
See what's new on Education.com,
explore classroom ideas, & more.
- Guided Lessons
Learn new concepts step-by-step
with colorful guided lessons.
- Printable Workbooks
Search results
Results from the WOW.Com Content Network
Difference quotients may also find relevance in applications involving Time discretization, where the width of the time step is used for the value of h. The difference quotient is sometimes also called the Newton quotient [10] [12] [13] [14] (after Isaac Newton) or Fermat's difference quotient (after Pierre de Fermat). [15]
It is a grade 1 derivation on the exterior algebra. In R 3, the gradient, curl, and divergence are special cases of the exterior derivative. An intuitive interpretation of the gradient is that it points "up": in other words, it points in the direction of fastest increase of the function.
The second derivative of a function f can be used to determine the concavity of the graph of f. [2] A function whose second derivative is positive is said to be concave up (also referred to as convex), meaning that the tangent line near the point where it touches the function will lie below the graph of the function.
This expression is Newton's difference quotient (also known as a first-order divided difference). The slope of this secant line differs from the slope of the tangent line by an amount that is approximately proportional to h. As h approaches zero, the slope of the secant line approaches the slope of the tangent line.
A finite difference is a mathematical expression of the form f (x + b) − f (x + a).If a finite difference is divided by b − a, one gets a difference quotient.The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential equations, especially boundary value problems.
The quotient / is not infinitely small; rather it is a real number. The use of infinitesimals in this form was widely criticized, for instance by the famous pamphlet The Analyst by Bishop Berkeley. Augustin-Louis Cauchy defined the differential without appeal to the atomism of Leibniz's infinitesimals.
Ads
related to: difference quotient problems worksheets printable gradeeducation.com has been visited by 100K+ users in the past month
It’s an amazing resource for teachers & homeschoolers - Teaching Mama